Stick up hotel, beset by drunk police still (7)
I believe the answer is:
mugshot
'police still' is the definition.
(photograph or still taken by the police)
'stick up hotel beset by drunk' is the wordplay.
'stick up' becomes 'mug' (mugging is a kind of sticking up).
'hotel' becomes 'h' (phonetic alphabet: alpha, bravo, charlie etc.).
'beset by' indicates putting letters inside ('beset' could historically mean 'cover').
'drunk' becomes 'sot' (both can mean someone who drinks too much).
'h' going within 'sot' is 'shot'.
'mug'+'shot'='MUGSHOT'
(Other definitions for mugshot that I've seen before include "Police photo (colloq.)" , "Passport photograph?" , "Photograph taken for police records" , "Police snap" , "Police ID photograph" .)