Not sure about the effect on clothing, but the basic premise really doesn't make a lot of sense. Developer oxidizes fairly quickly, I doubt you can save it for long periods, and certainly not with the surface area of a tray. Stop bath would keep, but its so inexpensive it hardly makes sense. Fixer you can keep for a while if you haven't exhausted it. But rather than keep the fixer in a tray, find a screw top bottle of an appropriate size (or several smaller ones); you can buy chemical containers (I know darkrooms are going extinct, but the larger stores still carry them) or simply use some old bottles instead of throwing them in the recycling bin. Anything in a closed bottle (the less air the better) will keep longer than in a covered tray.