Small country's boast whole continent listened to (7)
I believe the answer is:
croatia
'small country's' is the definition.
I don't understand how the rest of the clue works.
(Other definitions for croatia that I've seen before include "Adriatic country" , "Balkan state, became independent in 1991" , "Adriatic nation" , "Republic in SE Europe, capital Zagreb" , "Country of S. Europe" .)