A cutter in the outer Azores (5)
I believe the answer is:
razor
'a cutter' is the definition.
(I know that razor is a type of knife)
'in the outer azores' is the wordplay.
'in' says the answer is hidden in the clue.
'RAZOR' is hidden within 'outer azores'.
(Other definitions for razor that I've seen before include "Edge tool used in shaving" , "Shaver" , "Beard stripper" , "Sharp implement" , "Implement for removing hair" .)