Character shown in Somerset hospital (5)
I believe the answer is:
ethos
'character' is the definition.
(moral character)
'in somerset hospital' is the wordplay.
'in' says the answer is hidden in the clue.
'ETHOS' is hidden in the letters of 'somerset hospital'.
'shown' acts as a link.
(Other definitions for ethos that I've seen before include "Those (anag.)" , "Culture, way of life" , "Character of a community or age" , "Underlying culture of a group" , "Spirit (of a group, say)" .)