Duck and hare cooked for prince (8)
I believe the answer is:
archduke
'prince' is the definition.
(archduke is a kind of prince)
'duck and hare cooked' is the wordplay.
'and' is a charade indicator (letters next to each other).
'cooked' is an anagram indicator (letters cooked into a new form).
'duck' put after 'hare' is 'hareduck'.
'hareduck' anagrammed gives 'ARCHDUKE'.
'for' is the link.
(Other definitions for archduke that I've seen before include "European nobleman" , "Austrian noble" , "Prince of the former ruling house of Austria, Ferdinand for one" , "Emperor's son" , "Title of Franz Ferdinand, shot in Sarajevo in 1914" .)