Zero marks for these awards (6)
I believe the answer is:
oscars
'these awards' is the definition.
(the Oscars are the Academy Awards)
'zero marks' is the wordplay.
'zero' becomes 'O' (O resembles 0).
'marks' becomes 'scars' ('scar' can be a synonym of 'mark').
'o'+'scars'='OSCARS'
'for' is the link.
(Other definitions for oscars that I've seen before include "Wilde's" , "Trophies" , "Movie awards" , "Hollywood annual film awards" , "Cinema's Academy Awards" .)