[olddog]

I have a Tremec tko 600 and I know for certain my transmission does not have a synchronizer on the reverse gear. It requires putting into a forward gear first to stop the gears from turning.

I believe the tko 500 is the same design.

If the clutch starts to engage very quickly as the pedal come off the floor, when taking off normally, then I agree it is the clutch adjustment. If on the other hand, the clutch does not engage until the pedal is several inches up, it may be something else. Like the through out bearing or the pilot bearing. Let's hope not.