More's cut off for the shopper (8)
I believe the answer is:
customer
'the shopper' is the definition.
(thesaurus)
'more's cut off' is the wordplay.
'off' indicates anagramming the letters.
'mores'+'cut'='morescut'
'morescut' with letters rearranged gives 'CUSTOMER'.
'for' acts as a link.
(Other definitions for customer that I've seen before include "Regular" , "Rail passenger, nowadays" , "Person buying" , "One who buys goods or services" , "The one who pays is always right" .)