Member that comes across price for delivery on time (7)
I believe the answer is:
transom
'member that comes across' is the definition.
(horizontal beam in a building)
'price for delivery on time' is the wordplay.
'price for delivery' becomes 'ransom' (price paid to deliver a hostage from a kidnapper).
'on' means one lot of letters go next to another.
'time' becomes 't' (abbreviation).
'ransom' after 't' is 'TRANSOM'.
(Other definitions for transom that I've seen before include "Boat's flat stern - horizontal beam" , "Crossbar over door" , "Cross-member of boat or window" , "bolstering member" , "Horizontal bar across door for matrons" .)