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 am unsure of the 'rabbit' bit.
'hint it' is the wordplay.
'hint' becomes 'tip' (synonyms).
'it' becomes 'pet' (I can't justify this - if you can you should give a lot more credence to this answer).
'tip'+'pet'='TIPPET'
'could be' is the 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" .)