Uncontrolled hatred, common element throughout story (6)
I believe the answer is:
thread
'common element throughout story' is the definition.
(thread can mean a plot or storyline)
'uncontrolled hatred' is the wordplay.
'uncontrolled' is an anagram indicator.
'hatred' is an anagram of 'THREAD'.
(Other definitions for thread that I've seen before include "The rib going around a screw" , "Dearth (anag)" , "Storyline" , "'Strand of cotton, silk etc (6)'" , "What sewer takes" .)