A part of the hos[ital for Oscar or Tony? (5)
I believe the answer is:
award
'for oscar or tony?' is the definition.
(I've seen this in another clue)
'a part' is the wordplay.
'part' becomes 'ward' (I have seen 'Part of hospital ' mean 'ward' so perhaps 'part' could also mean 'ward').
'a'+'ward'='AWARD'
'of the hosital' is the link.
This may not be right. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for award that I've seen before include "E.g. Oscar" , "Honour, accolade." , "Give, as an honour" , "Bestow" , "Grant, confer" .)