Story that can be spun out? (4)
I believe the answer is:
yarn
This clue is a double definition.
'story' is the first definition.
('yarn' can be a synonym of 'story')
'that can be spun out?' is the second definition.
(Other definitions for yarn that I've seen before include "Rope" , "Sham" , "Sailor's tale" , "which could unravel?" , "Not fully credible story" .)