Offer you continue to resist (4,3)
I believe the answer is:
hold out
I believe this is a double definition.
'offer' is the first definition.
(I've seen this before)
'continue to resist' is the second definition.
(I've seen this before)
'you' is the link.
(Other definitions for hold out that I've seen before include "Continue to resist" , "Offer - last" , "Offer inducement or maintain resistance" , "Offer as inducement or resist capture" , "Resist (against siege)" .)