1. To refrain from touching or handling (something or someone). Usually said imperatively. You kids keep your paws off those cookies. They're for after dinner! I told you I wasn't interested, so keep your paws off me, you creep! That car is brand new, so keep your paws off!

2. To refrain from becoming involved with or attempting to take or control (something or someone). Usually said imperatively. That rotten bank had better keep its paws off my land! Listen, buddy, keep your paws off my sister, you hear?