Answer:
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 fish came first?
My first is in ocean but never in sea. My second's in wasp but never in bee. My third is in glider and also in flight. My whole is a creature that comes out at night.
I'm a red creature from the sea with large claws, or pincers, and I'm often boiled and served as an expensive dish at seafood restaurants.
This small creature kills even the largest one.
The sun bakes them, The hand breaks them, The foot treads on them, And the mouth tastes them. What are they?