Almost get rid of church carpet (9)
I believe the answer is:
axminster
'carpet' is the definition.
(thesaurus)
'almost get rid of church' is the wordplay.
'almost' means to remove the last letter (most of the word but not all of it).
'get rid of' becomes 'axe' (I've seen this before).
'church' becomes 'minster' (minster is a kind of church).
'axe' with its last letter taken off is 'ax'.
'ax'+'minster'='AXMINSTER'
(Other definitions for axminster that I've seen before include "West Country town" , "Carpet style" , "It's laid on floor" , "something underfoot?" , "south-west town" .)