Cook in a large African (8)
I believe the answer is:
algerian
'african' is the definition.
(Algerian is an example)
'cook in a large' is the wordplay.
'cook' indicates an anagram.
'in'+'a'+'large'='inalarge'
'inalarge' anagrammed gives 'ALGERIAN'.
(Other definitions for algerian that I've seen before include "Native of a North African country" , "Native of Oran" , "Foreign" .)