Answer:
It is an insect, and the first part of its name is the name of another insect. What is it?
When they are caught, they are thrown away. When they escape, you itch all day.
Those with eyes bigger than their stomach will definitely leave the restaurant with one of them. It is named after a house pet as well.
What animal has no wings, but yet will fly?
It can be in a hat, Or out of the bag. If you see it you'll be smitten, 'Cause it's fluffy like a mitten.
What gets broken if itβs not kept?