Depends. Ask 10 people what their definition of "small chunk" is, and you'll likely get 9-10 different answers. Any chance you could snap a pic of it?
I recently put several small "slices" in the sidewall of a steer tire from a concrete culvert that was buried on a goat trail I was delivering a machine to. It wasn't deep enough to concern me (wasn't leaking, only about 1/128" deep) and I hauled several loads grossing up to 155k with it afterwards. It's still mounted on my old ride at my former employers, as of a week ago.....
So....yeah. It depends.