Money despatched, I hear (4)
I believe the answer is:
cent
'money' is the definition.
(eg denomination of dollars)
'despatched i hear' is the wordplay.
'despatched' becomes 'sent' (to despatch is to send off).
'i hear' indicates a 'sounds like' (homophone) clue.
'sent' is a homophone of 'CENT'.
(Other definitions for cent that I've seen before include "Small change" , "Tiny coin" , "cheap at this price?" , "One-hundredth of the basic monetary unit" , "Part of a dollar" .)