Rob of a woolly coat (6)
I believe the answer is:
fleece
I believe this is a double definition.
'rob' is the first definition.
(synonyms)
'woolly coat' is the second definition.
(I've seen this before)
'of a' acts as a link.
(Other definitions for fleece that I've seen before include "warm garment" , "Rob by trickery, say woollen coat" , "Wool coat" , "Sheepskin lining" , "Sheepskin - take to the cleaners" .)