Conflict pressure leading to bias (4)
I believe the answer is:
warp
'bias' is the definition.
(I've seen this in another clue)
'conflict pressure leading' is the wordplay.
'conflict' becomes 'war' (war is a kind of conflict).
'leading' indicates taking the first letters.
The initial letter of 'pressure' is 'p'.
'war'+'p'='WARP'
'to' is the link.
(Other definitions for warp that I've seen before include "Twist out of shape" , "Distort as wood may from heat" , "Buckle" , "Pervert - lengthways threads" , "Go out of shape" .)