From Longman Dictionary of Contemporary Englishmind the shopmind the shopBritish English, mind the store American English informalIN CHARGE OF to be in charge of something, while the person who is usually in charge is not there → mind
Examples from the Corpus
mind the shop• Carrie had been minding the shop.• I have to mind the shop here.• Emily and Maudie can mind the shop quite well without me, so I can look after Josh and the boys. 