Praise article by Conservative right (7)
I believe the answer is:
acclaim
'praise' is the definition.
(I've seen this before)
'article by conservative right' is the wordplay.
'article' becomes 'a' (the indefinite article in English).
'by' says to put letters next to each other.
'conservative' becomes 'C' (UK political abbreviation).
'right' becomes 'claim' (claim is a kind of right).
'a'+'c'+'claim'='ACCLAIM'
(Other definitions for acclaim that I've seen before include "Plaudits" , "Declare" , "Salute, applaud" , "Welcome with shouts of applause" , "Extol" .)