Eagles flying round North African country (7)
I believe the answer is:
senegal
'african country' is the definition.
(Senegal is an example)
'eagles flying round north' is the wordplay.
'flying' indicates an anagram.
'round' indicates putting letters inside.
'north' becomes 'n' ('N' can be a synonym of 'north').
'eagles' anagrammed gives 'seegal'.
'seegal' enclosing 'n' is 'SENEGAL'.
(Other definitions for senegal that I've seen before include "Former French colony in Africa" , "W African republic" , "West African country" , "Part of Africa" , "French-speaking west African republic" .)