Spur to win in hairdressing contest!? (7)
I believe the answer is:
outcrop
I believe this is a double definition.
'spur' is the first definition.
'win in hairdressing contest?' is the second definition.
(cryptic - crop better than everyone else)
'to' acts as a link.
(Other definitions for outcrop that I've seen before include "Jutting stone" , "Rock formation at the earth's surface" , "rock appearance" , "Rock standing proud" , "Rocks appearing at the surface" .)