Be inclined to follow Tory challenge (7)
I believe the answer is:
contend
'challenge' is the definition.
'be inclined to follow tory' is the wordplay.
'be inclined' becomes 'tend' (I've seen this before).
'to follow' says to put letters next to each other.
'tory' becomes 'con' (abbreviation for Conservative).
'tend' put after 'con' is 'CONTEND'.
(Other definitions for contend that I've seen before include "fight" , "Struggle (with someone)" , "Debate - contest - claim" , "Tend NCO (anag.)" , "Engage in a struggle" .)