Affair bringing stories with it (12)
I believe the answer is:
relationship
'affair' is the definition.
(thesaurus)
'stories with it' is the wordplay.
'stories' becomes 'relations' (relation is a kind of story).
'with it' becomes 'hip' (I've seen this in other clues**).
'relations'+'hip'='RELATIONSHIP'
'bringing' is the link.
(Other definitions for relationship that I've seen before include "emotional tie-up" , "Family connection" , "Association, connection" , "Emotional bond" , "Emotional association between two people" .)