It doesn’t make you anonymous. Torrent protocol wasn’t designed with anonymity in mind and there are a million ways you’re going to leak your actual IP address....
Edit: I misread the statement. Thanks for pointing this out to all the repliers! My fault.
The first point of the answer is misleading. Tor is indeed designed with anonymity in mind. The leaks occur in different layers, like the for e.g. chosen BitTorrent client.
PSA: Don't torrent over TOR (tor.stackexchange.com)
It doesn’t make you anonymous. Torrent protocol wasn’t designed with anonymity in mind and there are a million ways you’re going to leak your actual IP address....