My TCP trigger wiggles more than I'd have expected. I'd say it's well under 1mm at the top, where the trigger disappears up into the frame, and about 1mm either way if you measure it at the bottom of the trigger. Function is outstanding.
Mine has some wiggle to it. More like it's pivoting slightly inside the frame. At the tip of the tip of the trigger the lateral motion is more pronounced. Since I have never had the trigger assembly out of the frame, I'm guessing that's the way it came from the factory. No functional issues that I have noticed.
I've taken things apart that might have been best to leave alone but I generally study the EPVs (Exploded Parts View) extensively before I do so and usually take pics as I go along to assist with reassembly. I didn't always do it that way but after a couple of close calls, I do now!