Tobias

Probably the cough you notice is a result of the cilia in your lungs becoming functional again. Your smoking paralyzed them with smoke and tar. The function of the cilia is like little brushes that trap and "sweep" the dirt out of your lungs - in a healthy nonsmoker who doesn't cough this process isn't even noticed. In a smoker the cough serves the function of getting the gunk out of there.

Don't suppress the cough. It is serving a useful purpose. But as the previous poster suggested, if you are anxious about it, you certainly can't go wrong consulting your physician who will no doubt be delighted that you aren't smoking any more!