Most stores will have a lockbox at cash registers where any cash amount over a certain amount is stored in. I'm not sure if these lockboxes have a plain lock or a time lock and are only moved to the safe after closing time though. But most stores also discourage the use of cash, because it puts them at risk of robberies and counterfeits.
Paying with cash is still attractive though, because cash is tax free. That is, no paper trail if you pay for a job by cash and the person doing it doesn't log anything. Very popular with tradespeople.