Hint it could be rabbit fur (6)
I believe the answer is:
tippet
'rabbit fur' is the definition.
'tippet' can be an answer for 'fur' (I've seen this before). I'm not certain of the 'rabbit' bit.
'hint it' is the wordplay.
'hint' becomes 'tip' (synonyms).
'it' becomes 'pet' (I can't explain this - if you can you should give a lot more credence to this answer).
'tip'+'pet'='TIPPET'
'could be' acts as a link.
Can you help me to learn more?
(Other definitions for tippet that I've seen before include "Cape for neck and shoulder" , "Small collar of fur with ends hanging in front" , "Gratuity to a dear one to find a cape" , "Anglican stole used during a service" , "Woman's fur shoulder-wrap" .)