Less industrious liberals head to Arizona, that is Republican (6)
I believe the answer is:
lazier
'less industrious' is the definition.
(I've seen this in another clue)
'liberals head to arizona that is republican' is the wordplay.
'head to' suggests taking the first letters (I've seen 'heading to' mean this).
'arizona' becomes 'az' (abbreviation).
'that is' becomes 'ie' (short for Latin 'id est', 'that is').
'republican' becomes 'R' (abbreviation).
The initial letter of 'liberals' is 'l'.
'l'+'az'+'ie'+'r'='LAZIER'
(Other definitions for lazier that I've seen before include "More idle" , "More lethargic or sluggish" , "More indolent or slothful" , "More like a couch potato" , "less inclined to work" .)