Coverage will depend on your insurance's criteria. Most require a minimum of 500 grams to be removed from each breast. For most women that would be DD or larger. If it is less than that, they may not cover it. However if you are DDD or larger you should have no problem. But you should discuss...
During a consultation in my office, you will first meet with me discussing yoru concerns and obtaining a medical history. Then a physical exam will be performed with a chaperone present. It is a pretty relaxed and comfortable atmosphere.
This can be a challening problem to fix after breast reduction surgery - there are several reasons why it happens, but no easy fix. Seek out a surgeon with a lot of breast revision experience in your area for an expert opinion.