There's tons of Mnemonics out there, but I find the 5 t's a little excessive. Everyone I have every known sticks to three t's, TURN, TIME, TALK simply as an order of priority when flying, i.e. don't get distracted by the radio before you've even flown the turn, and remember to start a watch coming out of the turn.
I don't think twist or throttle add anything here, and could lead to a student forgetting something important while trying to remember the mnemonic. What are you doing with the throttle after a turn anyway?
There's the 7 p's though, proper prior planning prevents piss poor performance
Not really a mnemonic but "Reds, Blues, Greens" is a good last check on short finals to check you have the correct prop and mixture setting and gear down.