Character in Barnet Hospital (5)
I believe the answer is:
ethos
'character' is the definition.
(I've seen this in another clue)
'in barnet hospital' is the wordplay.
'in' indicates the answer is hidden within the clue.
'ETHOS' can be found hidden inside 'barnet hospital'.
(Other definitions for ethos that I've seen before include "Characteristic spirit of a community - for those" , "General feeling" , "Characteristic spirit of a culture or era" , "Those with characteristic community belief" , "Those (anag.)" .)