Thinking your bar might be undersize or the control body oversize.
Put the abrasive sheet coarse side to the smoothest surface like a shim and reassemble.
I just thought of some 3M drywall sanding screens that have abrasive on both sides. Seems that might work for you. Just cut a patch to size and insert between control body and bar. Hardware store. I haven't done this, mind you. But, seems it would work.
The alternative, it would seem, is to make the clam shell fit tighter by removing metal from the bar control so it will clamp tighter.
Your choice.