African eagle's seen flying (10)
I believe the answer is:
senegalese
'african' is the definition.
(Senegalese is an example)
'eagle's seen flying' is the wordplay.
'flying' indicates an anagram.
'eagles'+'seen'='eaglesseen'
'eaglesseen' anagrammed gives 'SENEGALESE'.
(Other definitions for senegalese that I've seen before include "from West Africa" , "Relating to a West African country" .)