Dog in story told (4)
I believe the answer is:
tail
'dog' is the definition.
(I know that dog can be written as tail)
'story told' is the wordplay.
'story' becomes 'tale' (synonyms).
'told' indicates a 'sounds like' (homophone) clue.
'tale' sounds like 'TAIL'.
'in' acts as a link.
(Other definitions for tail that I've seen before include "Follow (a suspect)" , "Follow the caudal appendage" , "Follow closely - taper (off)" , "Rear appendage of animal" , "Follow -- rear end" .)