Story with twist? (4)
I believe the answer is:
yarn
This clue is a double definition.
'story' is the first definition.
(synonyms)
'twist?' is the second definition.
(thesaurus)
'with' acts as a link.
(Other definitions for yarn that I've seen before include "Spun thread or wool or tall tale" , "that'll keep you in stitches?" , "Rope" , "Spun fibre" , "which could unravel?" .)