Thanks everyone! It all makes sense. He is a very curious chin and after what I have read from everyone, I think he is doing it affectionately, not to hurt me.
My two male chins are about 9 months old. The one has also nibbled a little on my fingers or hands. But in the past week, it has been non stop biting. I bought some new toys, but the biting still occurs. It's not hard, so I dont know if he is playing/ tasting me, but I don't want it to get out...