When I was a child in the early 80's I remember watching some cartoon that had a chipmunk or some sort of animal and the part I remember is this animal was being chased through a forest or woods of some sort. It was an animated movie but not sure how long it was but I do remember the animal made it through to the end. Any help would be appreciated.

Maybe "the rescuers"

The rescuers, once upon a forest, secret of Nihm, chip and dale and the rescue rangers...