To the French, sudden wind is dignified (6)
I believe the answer is:
'dignified' is the definition.
(I've seen this before)
'to the french sudden wind' is the wordplay.
'to the french' becomes 'au'.
'sudden wind' becomes 'gust' (I've seen this before).
'is' acts as a link.
(Other definitions for august that I've seen before include "could get sunburned this time of year!" , "Month named after emperor of Rome" , "It follows 8" , "Month befitting a lord" , "when students are down?" .)