"To break or chew up into small pieces" An actual word my family used, and still uses, from when I was a child. For example, the dog never ate my homework when I was a kid. Rather, the mice chibbled up my homework. There were twelve children in my family so there was a lot of chibbling done around our house. By reason of an extraordinary amount of use over the years of the word with this meaning it should be seen as the true meaning of the word "chibble".
V: I'm sorry Mrs. Ungerecht, the mice chibbled my homework last night while I was sleeping.
N: Hey, what are these chibbles of paper doing all over the floor?