Armadillo Tattletale by Helen Ketteman, illustrated by Keith Graves

From the back of the book:
In the bare bones beginning, Armadillo'w ears were as tall as a jackrabbit's and as wide as a steer's horns. With such wonderful ears, Armadillo loved nothing better than spying on other animals and telling tales about what he heard. Then Armadillo gets an earful all his very own.
This humorous tale is a lyrical lesson in just how fast stretching the truth is likely to cause one humongous armadillo ruckus. As Armadillo peeps and creeps, children will giggle, and also learn a basic lesson in thoughtfulness and respect.