Meaning

• The soft foot of a mammal or other animal, generally a quadruped, that has claws or nails; comparable to a human hand or foot.

• A hand.

  "Get your grubby paws off my things!"

Meaning

• (of an animal) To go through something (such as a garbage can) with paws.

• (of an animal) To gently push on something with a paw.

• (of an animal) To draw the forefoot along the ground; to beat or scrape with the forefoot.

• (by extension) To touch someone in a sexual way.

• (by extension) To clumsily dig through something.

• To flatter.