Move slowly in cold, finding a fur (10)
I believe the answer is:
chinchilla
'fur' is the definition.
(I know that chinchilla is a fur)
'move slowly in cold finding a' is the wordplay.
'move slowly' becomes 'inch' (I've seen this before).
'in' is an insertion indicator.
'cold' becomes 'chill' (chill can mean cold).
'finding' means one lot of letters go next to another.
'inch' inserted inside 'chill' is 'chinchill'.
'chinchill'+'a'='CHINCHILLA'
(Other definitions for chinchilla that I've seen before include "Rabbit" , "(Fur of) a small South American rodent" , "Soft grey fur" , "furry creature" , "little furry animal" .)