Go round denying Republican's remarks on passing (4)
I believe the answer is:
obit
'remarks on passing' is the definition.
(I've seen this before)
'go round denying republican's' is the wordplay.
'go round' becomes 'orbit' (I've seen this before).
'denying' is a deletion indicator.
'republican' becomes 'r' (abbreviation).
'orbit' with 'r' taken away is 'OBIT'.
(Other definitions for obit that I've seen before include "provides announcement of death" , "Short version of brief article written about dead person" , "Short biography of someone who has died (abbr)" , "passing mention" , "funeral service" .)