Shirt not cut in front of corduroy jacket (5)
I believe the answer is:
tunic
'jacket' is the definition.
(I've seen this before)
'shirt not cut in front of corduroy' is the wordplay.
'shirt' becomes 't' (as in a T-shirt).
'not' becomes 'un' (prefix meaning 'not').
'cut' means to remove the last letter.
'front of' says to take the initial letters.
The first letter of 'corduroy' is 'c'.
'in' with its final letter taken off is 'i'.
't'+'un'+'i'+'c'='TUNIC'
(Other definitions for tunic that I've seen before include "Roman garment" , "Military uniform" , "Smock" , "Short uniform coat" , "Loose sleeveless garment" .)