An update:
I was carrying my chips in 2 birdcages between rooms, and I heard something, that sounded like a screw, hit the floor. I continued to take the chips the rest of the way through their journey before going back to find what had fallen. It was a black flat-head screw about an inch long. I immediately suspected that it had fallen out of the birdcage. I emptied the cages and flipped them over and was correct.
My chips survived 1/2 their journey with only one screw holding them in place.
The screw went back in just fine. I didn't have any Loctite so I simply added the screw and tightened is as much as I trust tightening a screw into plastic.
While a catastrophe was averted, it is a good lesson: If you carry your chips any distance, make periodic inspections of their travelling containers. Hinges, handles, pins, screws, and latches. Risk your chips on a stone-cold bluff, not on the way to the table.