We use the tobacco sacks at work for panels that have removable fasteners. Ours are dyed orange so they stand out in bays, if the parts have to be left in the bay. For panels, typically, the screws are removed, bagged and tied to the panel itself, then the panel is placed in a rack to await reinstallation. It takes the mechanic as well as an inspector to approve an area for the panel to be reinstalled, with certain areas requiring supervision, QA supervision and customer inspection before the panel going back on. They also get used to protect connectors, or hold Adel clamps or other small parts for an installation, but too small to go into the parts racks on their own.
A huge word of caution about putting screws partially in the holes while panels are off. They are significant tear dangers to you. We've had untold numbers of mechanics, inspections, engineers and salary people that get hung up on them and get hurt. Quite a few have had to have stitches and at least one person that I know of, had to have a couple of surgeries to repair eye and eye socket damage when they caught a screw on the edge of their eye.... As we all grow older, it doesn't take as much force as it used to, to cause skin tears, so be quite mindful if you put the screws back in the holes while working in those areas...