The Itsy Bitsy Spider (TV Series)

It's an animated series based on the short film of the same name. The Itsy Bitsy spider is the friend of a young girl who is taking piano lessons from a very strict Instructor. When the Instructor is frightened by Itsy, she calls an Exterminator, that uses more and more extreme measures to try to kill Itsy, most of which end up causing pain and destruction to the Instructor's home, cat, and the Exterminator himself.