Oriental cuisine's finale: a small bird (7)
I believe the answer is:
eastern
'oriental' is the definition.
('eastern' can be a synonym of 'oriental')
'cuisine's finale a small bird' is the wordplay.
'finale' says to take the final letters.
'small' becomes 's' (abbreviation - e.g. clothes size).
'bird' becomes 'tern' (tern is a kind of bird**).
The final letter of 'cuisine' is 'e'.
'e'+'a'+'s'+'tern'='EASTERN'
(Other definitions for eastern that I've seen before include "in Beijing, possibly" , "Could be Chinese" , "Earnest (anag.)" , "See 11" , "Nearest (anag) - oriental" .)