Hi Boris,
There is a gap and movement where the lens attaches to the body but the real movement is between the aperture ring and the focussing ring. I have a feeling it may have been caused by prolonged use of the TCL, but cannot be certain.
I've written to Fuji on their official site form in Tokyo so many times now I've lost count, but have only ever had the courtesy of one reply, and generally I only get an automated receipt of the messages.
I wouldn't let my experience put you off. I am very hard on my cameras, and anything other than Nikon or Canon just don't last very long.... but that's me, not so much the cameras. Modern cameras seem so flimsy, but in gentle hands they should last a long time.
I would recommend the X100S over the T. The T has a serious menu issue where the menu appears in the viewfinder by default. If you then want to navigate you either have to keep your eye to the viewfinder, so everybody thinks you're taking photos, or you can press the view mode button to make it come up on the LCD, but then you have to press it again 3 times to go back to being able to use the viewfinder again. This just doesn't work in fast moving situations. Third stop detents on the aperture ring on the T are also annoying for me. I prefer single stops, but that may not be an issue for you. I have abandoned the T and bought another S. They are now getting very difficult to find, so once my S reaches the end of its useful life, if Fuji haven't given me a menu by default on the LCD, I will be changing brand. Really don't worry about the lens wobble, unless (possibly) you plan on using the TCL a lot. Go for the S, it's a more usable camera, and the jog wheel is much faster to use than the four-way D pad buttons.