Conservative, they say, votes for this after watching TV for too long (6,4)
I believe the answer is:
square eyes
'this after watching tv for too long' is the definition.
(watching TV supposedly gives you square eyes!)
'conservative they say votes' is the wordplay.
I cannot quite see how this works, but
'conservative' could be 'square' (I've seen this before) and 'square' is found within the answer.
The remaining letters 'eyes' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...
'for' acts as a link.
(Another definition for square eyes that I've seen is " people stuck on the tube have?".)