Posted a little money to LA resident, did you say? (4)
I believe the answer is:
sent
'posted' is the definition.
('send' can be a synonym of 'post')
'a little money to la resident did you say?' is the wordplay.
'a little money to la resident' becomes 'cent' (US coin).
'did you say?' indicates a 'sounds like' (homophone) clue.
'cent' sounds like 'SENT'.
(Other definitions for sent that I've seen before include "old money in Tallinn" , "Transmitted" , "Noiseless" , "Caused to go somewhere" , "Remitted" .)