Soundly beat second-rate English political party (8)
I believe the answer is:
belabour
'soundly beat' is the definition.
'belabour' can be an answer for 'beat' (I've seen this before). I am unsure of the 'soundly' bit.
'second-rate english political party' is the wordplay.
'second rate' becomes 'b'.
'english' becomes 'E' (abbreviation).
'political party' becomes 'labour' (I've seen this before).
'b'+'e'+'labour'='BELABOUR'
Can you help me to learn more?
(Other definitions for belabour that I've seen before include "Harangue" , "discuss at length" , "Beat" , "hit" , "Criticise harshly" .)