Prince given a drink and a cut of meat over by hotel (9)

'prince' is the definition.
(maharajah is a kind of prince)

'meat over by hotel' is the wordplay.
'meat over' becomes 'maharaja' (I can't explain this - if you can you should give a lot more credence to this answer).
'by' says to put letters next to each other.
'hotel' becomes 'h' (phonetic alphabet: alpha, bravo, charlie etc.).
'maharaja'+'h'='MAHARAJAH'

'given a drink and a cut of' acts as a link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.