Giant Eye Of Doom: Marge is horrified when she wakes up and sees Stompy's eye peeking through her bedroom window.
Insane Troll Logic: When Homer was considering selling Stompy the Elephant to an ivory dealer, he pointed the dealer's ivory-made stuff as evidence he'd be less likely to harm Stompy than one whose ivory reserves were low.
Reality Ensues: Similar to the issues with Lisa's pony in season 3, an elephant is far too expensive for a middle class family to keep as a pet, and a good portion of the episode is about Homer trying to sell it.
Up to Eleven: When the family has finally finished cleaning the house, how long does it take for it to get messed up again? The time it takes for the double hinged kitchen door to swing open.