Expatriate runs inside storehouse (6)
I believe the answer is:
deport
'expatriate' is the definition.
('deport' can be a synonym of 'expatriate')
'runs inside storehouse' is the wordplay.
'runs' becomes 'r' (cricket abbreviation).
'inside' is an insertion indicator.
'storehouse' becomes 'depot' ('depot' can be a synonym of 'storehouse').
'r' put within 'depot' is 'DEPORT'.
(Other definitions for deport that I've seen before include "Expel from country - not a citizen" , "Expel unwanted person from country" , "conduct rarely seen nowadays?" , "Eject from country" , "Expel (a foreigner)" .)