More than 13,000 customers are said to have already taken the offer to sign up to the scheme. Members of the programme are rewarded with a point for every £1 spent in its store.
Customers who collect the required amount of points will be offered rewards including a day out at a classic motor racing event, a chauffeur-driven trip to an exclusive jeweller and a personal team to plan and cook for a dinner party.
There is also the opportunity to get closer to Mohamed Al Fayed, the owner of Harrods. One reward is a visit to Al Fayed's Balnagon estate in Ross-shire to enjoy fishing, walking and shooting, and a stay at one its cottages.
However, it is not yet clear how many points a customer needs in order to win one of the prizes.
If you have an opinion on this or any other issue raised on Brand Republic, join the debate in the .