If the system is sealed air-tight and a really good filtering system is in place then you should NEVER have to clean your ductwork. Most dust people see in their homes (on beds furniture etc....) is broken down insulation that is being blown into the home from the attic (venturi effect) where the duct bucket (box etc...) is not sealed at the sheetrock ceiling. On the return side, ANY leaks in the ductwork will pull hot attic air and dust into the system, clogging up everything.

I guess I should present my credentials first, I am a 30 year veteran of the heating and cooling industry. I started at the bottom and have participated in every area of the trade. Installer, service, maint. Ownership, rep, territory manager and so on. A forced air duct system is a large vacume. Like your vacume it has an air intake (return air) and an exhaust (supply registers). A filter just like a vacume (located next to furnace or air handler). Now I want you to visualize something. Put your head inside your vacume cleaner and breath. Get the picture? This is what your duct work looks like. Do you clean your vacume when it’s dirty? If it’s full and the filter is dirty you lose performance and it starts poluting the air you breathe. It’s common sense. I recommend hiring a duct cleaning outfit that you have researched to be honest, background checked, drug tested, insured, and highly recommended by your piers in the area. The service is a necessity, but like everything, it should be done by a qualified company.
I guess, I will start with saying that air duct cleaning is almost never needed. It is not a scam, but it is certainly something that uneducated homeowners get suckered into. In regards to air flow, a well balanced HVAC system should be able to deliver more than enough air flow. If you are not getting good air flow, it's because your system may be out of balance. Additionally, regular cleaning/changing of the air filters will solve about 95% of your problem. Though you would be surprised how many people either a. don't have a filter or b. don't know about it and leave it there for 10+years. a washable one should be cleaned every 6 months(spring and fall) and a disposable one should be replaced every 3-4 months.
The final cost of this service is best determined after a professional inspection. Many air duct cleaning companies build their prices based on individual services, while others offer package pricing which includes such components as the air conditioning and furnace. The following estimates can give you an idea of prices to expect for various services.

I recently replaced my 44 year old furnace. Over the years we have had several construction projects inside the home. For many years breathing the heated air from the duct work caused excessive sneezing, sinus issues, and lung irritation. . The heat smelled like dust. To maximize air quality I added a humidifier, MERV-11 filter, and UV light onto the new furnace. To further improve air quality, I had the ducts cleaned and sanitized. I took before and after pictures of the inside of each return and output duct. They were filthy before, and sparkling clean and fresh after the procedure. Now when running the system, clean sanitized air flows through my whole house. A huge difference. It will make sleeping and being indoors during the winter months far more tolerable. I use window air conditioners, and run the system in the summer to keep the house air clean and fresh on hot summer days too. It works! Great decision!
The cooling coils the air comes into contact with appear to need UV-C lights on them in humid climates. That's the biggest thing. If the ducts have never been cleaned, then getting that done goes without saying. But those coils need to be cleaned, disinfected, and then UV-C light(s) installed to prevent mold & bacteria build-up in the future on them. That appears to be chiefly responsible for the dirty laundry and/or sour milk smell coming from forced-air AC systems in humid regions.
Equipment used to clean ducts varies widely. The cheaper the equipment used the more you are just wasting money. This is why it's typically not worth doing. In some situations it may be beneficial, but only after determining and investigating the duct system. This should be done by a licensed HVAC contractor and not a duct cleaner that typically do not hold and HVAC license. (Duct cleaners aren't required to be licensed in HVAC in many areas.)
The answer to your question is most likely "Yes," but not defiitely. It depends on where the dust is coming from. Now, if your house is more than say, 12 years old then you likely do have leaks in your ducts that can let in insulation particles and dust from your attic. If this is the case then cleaning of the ducts-PROPER CLEANING, which like the article sas doess include EVERYTHING that the conditioned air passes through, such as your indoor evaporator coil and blower housing assembly-is definitely a good first step to getting that dust under control! Of course I highly recommend that you also have your ducts SEALED as well, or else you will have to repeat the cleaning some time down the line. As a 3rd step, consider an electronic air filter. I always thought they were a scam, personally, so I never bothered selling them to my clients. Then one day my manager sent me to install one for a senior couple in a mobile home. The wife had bad allergies, and her eyes were constantly watering and puffy and red. Well, I did a quality check 60 days later and she could not stop praising that air filter! Keep in mind that in a mobile home, duct seals are not as complete as those in other homes due to access issues.
I spent a lot of time reading all these posts and frankly I can’t believe the way some people think. 1. If there is dust and dirt of any kind in my HVAC system I want it out, the mentality that it can stay there and it’s fine is fulish as the system turns on and off microscopic particulates will move in and out of your living space and you will definitely breath them in. The air quality of your home or office will only be as clean as the system that produces it. We don’t not clean things simply because we can’t see them, it’s what we can’t see that can do the most harm. Dust will build up in a system fairly quickly and will get damp at times allowing mold to grow and mold releases spores without any movement as part of its defense meconisam so don’t tell me that when your system turns on it won’t blow the spores out into the living spaces of your home. A build up of dust will cause failures to your system over time, equipment that works harder to do its job will run hotter with more strain and this will lead to brake downs and until then the system will run less efficient then it should. The system was engineered to move a certain volume of air through a specific duct size, when that duct size starts to become narowed down with dust build up your system has to work harder to move that air this is why you will end up with a loss of efficiency and eventually breakdowns or failures. I have seen systems develop a significant amount of dust build up in as little as two years, just look at how fast the filter gets clogged up and it isn’t all that hard to believe. As for all the scams that are out there they hurt the industry because people can’t decipher between them and the legitimate companies, BBB is helpful. Recommendations from HVAC contractors will be a good resource and a good company will provide a written estimate with a complete brake down of what they are going to do and why, most of which is comen sence once they explain it to you, then if you spend about 5 minutes watching them once they are set up you can see they are doing what they said they would do and let’s get real would you do a job that should take approx 3 hours per system for $29/$39/59 or something close to that, if you think you are going to get a good job from a comp that has to make money at that price you shouldn’t be mad at anyone but your self for trying to get quality work at a scam price. If it’s done right it will be very beneficial and depending on the size of your system and where you are in the world it’s going to cost you approx $300 to $600 per system large and or older systems may cost even more. Remember a quality job isn’t wasting money but a lousy job is, even if it’s only $29. I’d rather spend $600 on a quality job then $29 on a lousy job!! Good luck..

Duct cleaning has never been shown to actually prevent health problems. Neither do studies conclusively demonstrate that particle (e.g., dust) levels in homes increase because of dirty air ducts. This is because much of the dirt in air ducts adheres to duct surfaces and does not necessarily enter the living space. It is important to keep in mind that dirty air ducts are only one of many possible sources of particles that are present in homes. Pollutants that enter the home both from outdoors and indoor activities such as cooking, cleaning, smoking, or just moving around can cause greater exposure to contaminants than dirty air ducts. Moreover, there is no evidence that a light amount of household dust or other particulate matter in air ducts poses any risk to your health.