Around hospital looks after dangerous people (7)
I believe the answer is:
threats
'dangerous people' is the definition.
'around hospital looks after' is the wordplay.
'around' is an insertion indicator.
'hospital' becomes 'h'.
'looks after' becomes 'treats'.
'h' going into 'treats' is 'THREATS'.
(Other definitions for threats that I've seen before include "Menacing statements" , "Shatter (anag) - menaces" , "Sources of danger -- shatter (anag)" , "Terrifying demands" , "Expressions of intention to harm" .)