African oil running part of America (10)
I believe the answer is:
california
'part of america' is the definition.
(California matches up with the definition part of america)
'african oil running' is the wordplay.
'running' is an anagram indicator (the letters run around to different places).
'african'+'oil'='africanoil'
'africanoil' anagrammed gives 'CALIFORNIA'.
(Other definitions for california that I've seen before include "The Golden State" , "US state" .)