My Chewie has the exact same problem, right from the moment we got him, hence his name 

 Most times it doesnt hurt at all when he bites, but he has a habit of pinching tiny bits of your skin as hard as he can, whether it is the top of your foot or a toe, or arms, fingers, lol pretty much any thing he can get his mouth on. What I have found is his biting generally stems from boredom; trying to get my attention so I will play with him. I redirect his bites from me to a chew toy, or take him for a walk. Tell him OUCH, and gently push him away. If he comes back, continue to push him away, no matter how frustrating it gets and how stubborn he is. He will get the point eventually 
