The processor types are incorrect, but Grim Fandango did rely on a mix of clock time and cycle count for the timing of automatic elevator doors, and faster CPUs made them unusable.
There was a puzzle involving an elevator that you simply could not solve on faster machines because the elevator moved too quickly. I think I had to patch my game because of that one.
How strange. Why didn't they use a timer? That is, on any machine you know how long 1 second is. From a developer perspective that doesn't change if you bump up the CPU clock speed, else "clocks" wouldn't work.