Cod or May (4)
I believe the answer is:
cape
'cod or may' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for cape that I've seen before include "Sleeveless overgarment" , "Point of land jutting out into the water" , "Wrap" , "Shoulders? They're covered in it" , "Batman has one" .)