Inveterate (4-2-3-4)
I believe the answer is:
dyed-in-the-wool
'inveterate' is the definition.
(I've seen this before)
This is all the clue.
(Other definitions for dyed-in-the-wool that I've seen before include "Invariant in beliefs" , "Of firmly fixed opinions" , "Inveterate - they do lie down (anag)" , "(Overly) traditional" , "Retain" .)