End with story being recited? (4)
I believe the answer is:
tail
'end' is the definition.
(I know that tail is a type of end)
'story being recited?' is the wordplay.
'story' becomes 'tale' (synonyms).
'being recited?' indicates a 'sounds like' (homophone) clue (I've seen 'recited' mean this).
'tale' sounds like 'TAIL'.
'with' is the link.
(Other definitions for tail that I've seen before include "Back end; follow secretly" , "Caudal fin" , "Elongated appendage of an animal" , "Dog - end" , "Follow (a suspect)" .)