A country farm, a little part (4)
I believe the answer is:
mali
'a country' is the definition.
(I know that Mali is a African country)
'farm a little part' is the wordplay.
'part' indicates the answer is hidden within the clue.
'MALI' can be found hidden inside 'farm a little'.
(Other definitions for mali that I've seen before include "West African country, capital Bamako" , "Timbuktu is in this landlocked country" , "African country, former French colony" , "A state" , "W. African country" .)