loyalty card• Publishers' restrictions do not, for example, allow us to issue a Dillons customer loyalty card.• He had read her Sainsbury's loyalty cardaccount.• I flashed my supermarket loyalty card and was in.
From Longman Business Dictionary
loyalty cardˈloyalty cardCOMMERCE
a card given by a shop, SUPERMARKET etc that gives regular customers lower prices, money back on goods etc
The loyalty card offers a 5% discount on the store’s own-brand goods.