In the anime, does Team Rocket's Meowth ever use a move?
Yes. He uses Fury Swipes, Scratch, and Bite.
Source: http://bulbapedia.bulbagarden.net/wiki/Meowth_%28Team_Rocket%29
He has used Fury Swipes quite many times, I'm not sure of all the moves used though it probably has used Scratch as well.
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