Country flag raised over wide cupola lasts (7)
I believe the answer is:
eritrea
'country' is the definition.
(I know that Eritrea is a African country)
'flag raised over wide cupola lasts' is the wordplay.
'flag' becomes 'tire' (I've seen this in another clue).
'raised' says the letters should be written in reverse (going up in a down clue).
'lasts' says to take the final letters (I've seen 'last' mean this).
The final letters of 'over wide cupola' are 'rea'.
'tire' in reverse letter order is 'erit'.
'erit'+'rea'='ERITREA'
(Other definitions for eritrea that I've seen before include "NE African state" , "Eire art (anag)" , "Asmara area" , "State north of Ethiopia" , "Country in the Horn of Africa" .)