Supervisor carrying tea for each one shortly (8)
I believe the answer is:
chaperon
'supervisor' is the definition.
(I've seen this before)
'tea for each one shortly' is the wordplay.
'tea' becomes 'cha' (cha is a type of tea).
'for each' becomes 'per' (I've seen this before).
'shortly' means to remove the last letter.
'one' with its last letter removed is 'on'.
'cha'+'per'+'on'='CHAPERON'
'carrying' acts as a link.
(Other definitions for chaperon that I've seen before include "Guardian" , "Duenna; look after" , "Woman supervising girl" , "One who accompanies and supervises" , "Escort" .)