When I decided to play a round of Day of the Tentacle on my 486 again today, I had to struggle with random freezes on my PC. For no apparent reason, the game would stop accepting any mouse or keyboard inputs after a few minutes, so a hard reset was the only way out.
After spending some time troubleshooting, I managed to pinpoint the source of the problem: the CuteMouse driver. The version I was using, v2.1 beta 4, was causing the issue. As a test, I downgraded the driver to CuteMouse v1.9.1 and the problem was solved. Might be about time to look into a few other mouse drivers.