Follow story out loud (4)
I believe the answer is:
tail
'follow' is the definition.
(thesaurus)
'story out loud' is the wordplay.
'story' becomes 'tale' ('tale' can be a synonym of 'story').
'out loud' indicates a 'sounds like' (homophone) clue.
'tale' is a homophone of 'TAIL'.
(Other definitions for tail that I've seen before include "Rear appendage of animal" , "Comet's luminous trail" , "Back end; follow secretly" , "weaker batsmen" , "Follow closely - taper (off)" .)