So leaves person from one African country for another (4)
I believe the answer is:
mali
'for another' is the definition.
I can't judge whether this defines the answer.
'so leaves person from one african country' is the wordplay.
'leaves' is a deletion indicator.
'person from one african country' becomes 'Somali' (someone from Somalia).
'somali' with 'so' taken away is 'MALI'.
(Other definitions for mali that I've seen before include "Timbuktu is in this landlocked country" , "African state's" , "African country, former French colony" , "A state" , "W. African country" .)