Coat I relinquished keeps last of men supplied (9)
I believe the answer is:
furnished
'supplied' is the definition.
('furnish' can be a synonym of 'supply')
'coat i relinquished keeps last of men' is the wordplay.
'coat' becomes 'fur' (fur is a kind of coat).
'relinquished' becomes 'shed'.
'keeps' indicates putting letters inside.
'last of men' becomes 'n' (I am not sure about this - if you are sure you should believe this answer much more).
'fur'+'i'+'shed'='furished'
'furished' placed around 'n' is 'FURNISHED'.
Can you help me to learn more?
(Other definitions for furnished that I've seen before include "Equipped with tables,chairs etc" , "Provided, supplied" .)