Fly hurt, by the sound of it? (4)
I believe the answer is:
soar
'fly' is the definition.
(soaring is a kind of flying)
'hurt by the sound of it?' is the wordplay.
'hurt' becomes 'sore' (I've seen this before).
'by the sound of it?' indicates a 'sounds like' (homophone) clue.
'sore' sounds like 'SOAR'.
(Other definitions for soar that I've seen before include "Rise high in flight" , "Rise; sounds like painful" , "Rise effortlessly" , "Move quickly upward" , "rise dramatically" .)