Perfume dispatched without note (5)
I believe the answer is:
scent
'perfume' is the definition.
('scent' can be a synonym of 'perfume')
'dispatched without note' is the wordplay.
'dispatched' becomes 'sent' (I've seen this before).
'without' means one lot of letters goes inside another ('without' can be similar in meaning to 'outside').
'note' becomes 'c' (musical note).
'sent' enclosing 'c' is 'SCENT'.
(Other definitions for scent that I've seen before include "Get wind of" , "Fragrance" , "Clue" , "Whiff" , "Pleasant odour" .)