My son was a bitter at that age too! Sucks, huh! Especially since you feel you have no control over it. I was at least comforted by the fact that he didn't bite other kids. He primarily only bit me - in the face! It made it hard to hug him and cuddle him for fear that teeth would yet again sink into my cheek. I think twice that happened - otherwise he would bite my shoulder. He primarily did it when teething or frustrated!
A friend of mine who does daycare has had this issue more than once. Her plan of attack was to clip something to their shirt that they could bite. Example - take one of those pacifier clips and hook like a small teething ring, keychain (plastic so it won't hurt), or small toy to it. Then clip it to her shirt and tell her if she needs to bit, that is what she has to bite. I have seen it work wonders time and time again. Now, why didn't I do it????? Guess the biting was too infrequent and I just never got around to it - but everytime I got bit, I wished I had at least tried it.
Good luck to you - and remember it doesn't last forever!
-J.