Ordains after conversion that's progress (7)
I believe the answer is:
inroads
'progress' is the definition.
(I've seen this before)
'ordains after conversion' is the wordplay.
'after conversion' indicates anagramming the letters (I've seen this in other clues).
'ordains' with letters rearranged gives 'INROADS'.
'that's' acts as a link.
(Other definitions for inroads that I've seen before include "large quantities consumed when these are made" , "Hostile incursions" , "Hostile attacks" , "Ordains as offensives" , "Sad iron (anag.)" .)