The local Randall's store (part of the Safeway/Albertson's group) started a senior hour (from 7 to 8 am) this week. I took my mother there yesterday and the store was more crowded than I've seen it any time since its grand opening. I would guess at least 1/3 of the customers weren't actually seniors by any reasonable definition, and there were no gatekeepers. LOTS of empty spaces on the shelves that weren't restocked overnight, including things like disinfecting wipes, flour, rubbing alcohol, and so forth and so on. Too few cashiers and long lines, but we were lucky to be in the right place when a new checkout line opened.
We then went to the HEB across the street which opened at 8:00 AM. There was a LONG line already formed up at the main entrance, with several employees acting as gatekeepers (to give you a "sanitized" cart) and one cop to maintain order. No pushing or shoving, so the people were well-behaved anyway. As my mother and I approached the line, one nice lady near the front of the line gestured to us and said "Please, ma'am, get in front of me." She saw a sweet little old lady in my mom and did us a nice turn.
Still some empty places on the shelves at HEB and we didn't get a few items on our shopping list, but I DID get some disinfecting wipes and 91% isopropanol. Quantities WERE being limited on everything from canned goods to meat. (e.g., 8 cans of veggies, 2 bottles of isopropanol, 4 packages of wipes, etc.) Plexiglas shields up by the cash registers, and the doors by the registers were "exit only" with a gatekeeper using one of their in-store wireless hookups to count the people leaving, which let the entrance gatekeepers know how many to let in. So the store was limiting inside crowds. Everyone was well behaved.
Naturally, we used the hand sanitizer I put in the truck as soon as we got in after we put the groceries in back.
(This was all in a suburb just west of Austin, TX.)