Mark's statuette with no head? (4)
I believe the answer is:
scar
'mark's' is the definition.
(mark left by an injury)
'statuette with no head?' is the wordplay.
'statuette' becomes 'oscar' (the golden Oscar statuette).
'with no head?' means to remove the first letter (I've seen 'with no head' mean this).
'oscar' with its first letter taken away is 'SCAR'.
(Other definitions for scar that I've seen before include "area of wound" , "showing effect of damage to body" , "Remains of a wound" , "Skin mark; bare crag" , "fall could possibly be the reason for one" .)