College head leaves part-time judge to request another delivery (7)
I believe the answer is:
reorder
'request another delivery' is the definition.
(to order a product again)
'college head leaves part-time judge' is the wordplay.
'college head' becomes 'c' (I've seen this in other clues).
'leaves' indicates named letters should be taken away.
'part-time judge' becomes 'recorder' (barrister who acts as a judge part-time).
'recorder' with 'c' removed is 'REORDER'.
'to' is the link.
(Other definitions for reorder that I've seen before include "Send off again for" , "Rearrange" , "Make a further request" , "make new disposition" , "Arrange afresh" .)