Charge for Conservative guys in the rioting suggests more cordial relations (13)
I believe the answer is:
rapprochement
'more cordial relations' is the definition.
(process of reconciliation)
'charge for conservative guys in the rioting' is the wordplay.
I cannot really understand how this works, but
'charge' could be 'rap' (I have seen 'Criminal charge ' mean 'rap' so perhaps 'charge' could also mean 'rap') and 'rap' is found in the answer.
'for' could be 'pro' (I've seen this before) and 'pro' is located in the answer.
'conservative' could be 'c' (abbreviation commonly used in UK politics) and 'c' is present in the answer.
'guys' could be 'men' and 'men' is located in the answer.
an anagram of 'the' is 'het' which is within the remaining letters.
No letters remain.
This explanation may well be incorrect...
'suggests' is the link.
(Other definitions for rapprochement that I've seen before include "resumption of friendly relations" , "Re-establishment of harmonious relations" , "Resumption of good relations" , "move towards peace?" , "Resumption of harmonious relations" .)