Damage statuette, knocking head off (4)
I believe the answer is:
scar
'damage' is the definition.
(thesaurus)
'statuette knocking head off' is the wordplay.
'statuette' becomes 'oscar' (the golden Oscar statuette).
'knocking head off' means to remove the first letter.
'oscar' with its first letter taken away is 'SCAR'.
(Other definitions for scar that I've seen before include "Evidence of an old cut?" , "Visible mark of healing" , "One left after having wound" , "Mark of former injury" , "Mark left on healed tissue" .)