We've got both a passive tube mechanism and a simply driven lift mechanism.

While this does pivot up & down, it does not grasp the game pieces in any way. We have yet to produce a situation in which we lose posession of the game objects.

These pulleys and cables are on the front (non-driven) side of our lift. They're tensioned in such a way that when we drive up & down the middle sections (sections 2&5), the inner sections (3&4) rise up twice as quickly. This allows us to mount our drive belts to the outer sections (1&6) which are statically mounted to our frame.
From 0:06 to 0:11 you get a decent view of the belt drive that lifts the whole assembly.
It's powered by a FP motor.
The assembly uses 1010 8020 with the roller wheel & bracket assembly.