Send right back a while after (5)
I believe the answer is:
remit
'send' is the definition.
(I've seen this before)
'right back a while after' is the wordplay.
'right' becomes 'r' (common abbreviation).
'back' is a reversal indicator.
'a while' becomes 'time' (I've seen this before).
'after' is a charade indicator (letters next to each other).
'time' written backwards gives 'emit'.
'r'+'emit'='REMIT'
(Other definitions for remit that I've seen before include "Job specification" , "Desist from" , "Send < authorisation" , "Send; abate; cancel" , "Task/area assigned (to an organisation)" .)