Puppy ate part of a hair stick, one of those japanese wood ones. Will he be fine?

I can't take him to the vet at the moment. He just shredded the tips of it, don't think he really ate much. He seems fine, i'm going to keep an eye on him. He eats anything and everything. He's crapped out numerous hairballs. I try to keep things up but i'm also a college student and can't always have my eyes on him.