Insult conservative and socialist relations in disgrace (9)
I believe the answer is:
discredit
'disgrace' is the definition.
(I know that disgrace can be written as discredit)
'insult conservative and socialist relations' is the wordplay.
'insult' becomes 'dis' (I've seen this in another clue).
'conservative' becomes 'C' (UK political abbreviation).
'and' means one lot of letters go next to another.
'socialist' becomes 'red' (socialism is often associated with the colour red).
'relations' becomes 'it' (I can't justify this - if you can you should believe this answer much more).
'dis'+'c'+'red'+'it'='DISCREDIT'
'in' acts as a link.
Can you help me to learn more?
(Other definitions for discredit that I've seen before include "Scandal'" , "bad reputation" , "Loss of reputation" , "Give the lie to" , "Bring (someone) into bad repute" .)