[Clipper]

By the Claws, I assume you mean the Glowing Talons, which are usable by Atomic Zombies only. If that's the case, I'd say this is an illegal play.

Cheat! whether it is played via a card, or via the pink slips obtained via the capsule machines, only allows you to carry and use an Item you couldn't use otherwise. It does not allow you to change its position from used to unused or vice versa. I'm fairly sure it doesn't allow you to play an Item when you otherwise couldn't as well. As you cannot play an Item nor switch an Item from unused to used during combat, Cheat! won't help you in the situation described.

As for the question of what to do with the Item if you did legally use the slip, I'd say you keep it on the table provided it is legal for you to have the Item (turning it sideways to be unused if necessary, of course).