It smooths over Labour leader's false report (7)
I believe the answer is:
slander
'false report' is the definition.
(I've seen this before)
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for slander that I've seen before include "Calumny" , "Injurious defamation by spoken words" , "Defame" , "False or malicious report" , "backbiting" .)