Strong dislike of tangled thread (6)
I believe the answer is:
hatred
'strong dislike' is the definition.
(I've seen this in another clue)
'tangled thread' is the wordplay.
'tangled' is an anagram indicator.
'thread' with letters rearranged gives 'HATRED'.
'of' is the link.
(Other definitions for hatred that I've seen before include "Abhorrence, detestation" , "Deep dislike and aversion" , "Extreme dislike and enmity" , "'Loathing, enmity (6)'" , "Intense dislike" .)