Cockney wife's nationality … (5)
I believe the answer is:
dutch
I believe this clue is a double definition.
'cockney wife's' is the first definition.
(historic Cockney slang term for wife)
'nationality' is the second definition.
(Other definitions for dutch that I've seen before include "A European; pay-for-oneself (treat)" , "From Amsterdam, perhaps" , "partner" , "Netherlandish language" , "European - wife" .)