Story having thread? (4)
I believe the answer is:
yarn
I believe this clue is a double definition.
'story' is the first definition.
(synonyms)
'thread?' is the second definition.
(I know that thread can be written as yarn)
'having' acts as a link.
(Other definitions for yarn that I've seen before include "Fabricated" , "Not fully credible story" , "Spun fibre" , "Spun thread; long story" , "Spun thread or wool or tall tale" .)