Almost made angry (3)
I believe the answer is:
mad
'angry' is the definition.
(similar in meaning)
'almost made' is the wordplay.
'almost' means to remove the last letter (most of the word but not all of it).
'made' with its last letter taken off is 'MAD'.
(Other definitions for mad that I've seen before include "Insane - furious" , "like the March Hare" , "Frenzied" , "Crazy" , "Berserk" .)