I lent TMO to my aunt who is avidly playing it. It runs fine, but when she goes to Val Davis's lab she gets the black Tex "loading screen" and then the compy just freezes. No nothin' from that point on.
Change the video renderer to Software (if you are currently in Hardware, or vice versa if you are running Software) before you enter, and change it back once you get inside.
The same solution can be found for a few rooms in Gideon's Masion when you get upto it.