Defeated narrowly, with "out" (5)
I believe the answer is:
nosed
'defeated narrowly with out' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for nosed that I've seen before include "Moved slowly and cautiously forward" , "Nodes (anag.)" , "proceeded slowly" , "Move back or away" , "Snooped" .)