Bauer of outerwear (5)
I believe the answer is:
eddie
'bauer of outerwear' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for eddie that I've seen before include "Little Edward" , "- Cochran, US singer" , "-- Izzard, comedian" , "Murphy or Cantor" , "-- Grundy (The Archers)" .)