Children resulting from affair? (5)
I believe the answer is:
issue
I believe this is a double definition.
'children' is the first definition.
(issue can mean someone's offspring)
'affair?' is the second definition.
(thesaurus)
'resulting from' acts as a link.
(Other definitions for issue that I've seen before include "Copy of a magazine, for instance" , "Sprogs" , "Children; topic for debate" , "Continent" , "Offspring or one of publication" .)