Man for example is extremely louche (4)
I believe the answer is:
isle
'man for example' is the definition.
(Isle of Man is an example)
'is extremely louche' is the wordplay.
'extremely' means to remove the middle letters (only the extremes of the word are used).
'louche' with its middle removed is 'le'.
'is'+'le'='ISLE'
(Other definitions for isle that I've seen before include "Could be Man" , "what Donne implied he wasn't" , "Land amid water" , "Skye, for example" , "9 ac perhaps" .)