Post a video. Play at the joint itself should be zero. However, where it goes into the gear box, there should be a little bit of gear lash on all gear boxes.
Thanks. It is not rotational play, backlash between gears. It is up and down play in the h block at the transfer case end. There is no play in the pinion, or TC output flange, all in the u-joints.
U-joints should have zero side-to-side play as you described. You should replace the u-joints ASAP.