Follow story as told (4)
I believe the answer is:
tail
'follow' is the definition.
(both can mean to chase or pursue)
'story as told' is the wordplay.
'story' becomes 'tale' (synonyms).
'as told' shows a homophone (sound like).
'tale' is a homophone of 'TAIL'.
(Other definitions for tail that I've seen before include "part of coat" , "Feebler batsmen" , "Follow closely - taper (off)" , "Follow the caudal appendage" , "Rump" .)