Dispose of popular Conservative policy (7)
I believe the answer is:
incline
'dispose' is the definition.
(I know that dispose can be written as incline)
'popular conservative policy' is the wordplay.
'popular' becomes 'in' ('in' can mean trendy).
'conservative' becomes 'C' (UK political abbreviation).
'policy' becomes 'line' (I've seen this in another clue).
'in'+'c'+'line'='INCLINE'
'of' acts as a link.
(Other definitions for incline that I've seen before include "Bend forwards" , "bow" , "Have a tendency to do or be something" , "Tend - slope" , "tip" .)