Refurbish chapel a bit in established Order (10)
I believe the answer is:
alphabetic
'in established order' is the definition.
(in alphabetical order)
'refurbish chapel a bit' is the wordplay.
'refurbish' indicates anagramming the letters (I've seen 'refurbished' mean this).
'chapel'+'a'+'bit'='chapelabit'
'chapelabit' anagrammed gives 'ALPHABETIC'.
(Other definitions for alphabetic that I've seen before include "showing certain things in their natural order?" , "in conventional order" , "with a first, etc" , "like characters in a demo" .)