I see all of the different designs here and thoroughly understand "limited space" with my working machine shop in half a 2-car garage, but I warn people to never store ANYTHING above your lathe. To the side, the back, underneath, whatever. But, definitely not above the spindle/chuck or anywhere that something could possibly fall into spinning parts. It's tempting, empty space and convenient, I get it.
Safety First! Check my Signature. :think1: