Flier and French disciplinarian (8)
I believe the answer is:
martinet
'disciplinarian' is the definition.
('martinet' can be a synonym of 'disciplinarian')
'flier and french' is the wordplay.
'flier' becomes 'martin' (martin is a kind of birdanimal**).
'and french' becomes 'et' ('and' in the French language).
'martin'+'et'='MARTINET'
(Other definitions for martinet that I've seen before include "A strict disciplarian" , "Gradgrind was one" , "Stickler for discipline" , "drillmaster" , "A rigorous operator" .)