Idiot leading part of hospital getting agreement (6)
I believe the answer is:
assent
'agreement' is the definition.
(assent is a kind of agreement)
'idiot leading part of hospital' is the wordplay.
'idiot' becomes 'ass' (I've seen this before).
'leading' means one lot of letters go next to another.
'part of hospital' becomes 'ent' (I've seen this in other clues).
'ass'+'ent'='ASSENT'
'getting' acts as a link.
(Other definitions for assent that I've seen before include "Official sanction" , "Permit or approve" , "Agree and concur" , "Expression of agreement" , "Accede, agree" .)