Conservative-Liberal relationship brings outcry (7)
I believe the answer is:
clamour
'outcry' is the definition.
(I know that clamour is a type of outcry)
'conservative-liberal relationship' is the wordplay.
'conservative' becomes 'C' (UK political abbreviation).
'liberal' becomes 'l' (abbreviation).
'relationship' becomes 'amour' (amour is a kind of relationship).
'c'+'l'+'amour'='CLAMOUR'
'brings' acts as a link.
(Other definitions for clamour that I've seen before include "Noisy disturbance" , "Complaints" , "Hue and cry" , "Loud and persistent outcry" , "Loud confused noise" .)