Study in Cowdenbeath (3)
I believe the answer is:
den
'study' is the definition.
(term for a study or office)
'in cowdenbeath' is the wordplay.
'in' says the answer is hidden in the clue.
'DEN' is hidden in the letters of 'cowdenbeath'.
(Other definitions for den that I've seen before include "Animal habitation" , "Hidden lair of an animal" , "Animals' shelter" , "Cave" , "Room for work or play" .)