Fed up with rotten dates (5)
I believe the answer is:
sated
'fed up' is the definition.
(sated can mean completely fed)
'rotten dates' is the wordplay.
'rotten' indicates an anagram.
'dates' is an anagram of 'SATED'.
'with' acts as a link.
(Other definitions for sated that I've seen before include "Filled to satisfaction" , "Stuffed with food, too full" , "given more than enough" , "fully indulged" , "Glutted" .)