Mark pursues old award (5)
I believe the answer is:
oscar
'award' is the definition.
(Academy Award)
'mark pursues old' is the wordplay.
'mark' becomes 'scar' (mark left by an injury).
'pursues' means one lot of letters go next to another.
'old' becomes 'o' (abbreviation as in OT - Old Testament).
'scar' put after 'o' is 'OSCAR'.
(Other definitions for oscar that I've seen before include "- - Hammerstein (musicals)" , "Some players are given this" , "Title of Hollywood Academy award" , "feature of award ceremony" , "Wildean film award?" .)