I just got mine yesterday, and mine is already doing that as well, I might go by the store today and see if I can't pick up a pouch for it or something. It looks pretty gross.
I have the same exact problem. I am going to try and clean it with some alcohol or adhesive remover on a q-tip later today. Hopefully one of those will work.
I used a piece of tape, a piece of clay bar and some rubbing alcohol on a q-tip and it is as close to fixed as I think it will get. Hopefully the rubbing alcohol removes the adhesive that makes makes the lint stick.