Bad dates first eaten producing disgust (8)
I believe the answer is:
distaste
'disgust' is the definition.
(thesaurus)
'bad dates first eaten' is the wordplay.
'bad' indicates an anagram.
'first' becomes 'ist' (ist resembles 1st).
'eaten' is an insertion indicator.
'dates' with letters rearranged gives 'daste'.
'daste' going around 'ist' is 'DISTASTE'.
'producing' acts as a link.
(Other definitions for distaste that I've seen before include "Not liking" , "Dislike of something unsavoury" , "Abhorrence" , "Is stated (anag.)" , "mild revulsion" .)