Giving a prize for a new style of drawing (8)
I believe the answer is:
awarding
'giving a prize' is the definition.
(I've seen this before)
'style of drawing' is the wordplay.
'style' becomes 'a' (I am not sure about this - if you are sure you should believe this answer much more).
'of' indicates anagramming the letters (the answer comes from or 'of' the letters).
'drawing' anagrammed gives 'warding'.
'a'+'warding'='AWARDING'
'for a new' acts as a link.
This may not be correct. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for awarding that I've seen before include "Giving a prize" , "Granting on the basis of merit" , "Granting in recognition of achievement" , "Handing out" .)