loyalty card 
noun British
An identity card issued by a retailer to its customers as part of a consumer incentive scheme, whereby credits are accumulated for future discounts every time a transaction is recorded.Finally, why not use a cashback credit card with your loyalty card to earn up to 2% more on top?...
- I am not concerned that my loyalty card enables credit card companies and supermarkets to analyse my buying habits.
- Combine your cashback card with a supermarket loyalty card to earn even greater rewards.