Old scrap among his presents (8)
I believe the answer is:
exhibits
'presents' is the definition.
(I know this)
'old scrap among his' is the wordplay.
'old' becomes 'ex' (prefix meaning former or onetime).
'scrap' becomes 'bit' (synonyms).
'among' indicates putting letters inside.
'bit' placed into 'his' is 'hibits'.
'ex'+'hibits'='EXHIBITS'
(Other definitions for exhibits that I've seen before include "Objects on display for the public" , "Show" , "Displays" .)