Reportedly lift fabric that's abrasive (5,4)
I believe the answer is:
steel wool
'abrasive' is the definition.
(steel wool is a kind of abrasive)
'reportedly lift fabric' is the wordplay.
I cannot really see how this works, but
'reportedly' could be 'e' (I've seen this in other clues) and 'e' is located in the answer.
'fabric' could be 'wool' (wool is a kind of fabric) and 'wool' is found within the answer.
This may be the basis of clue (or it may be nonsense).
'that's' acts as a link.
Can you help me to learn more?
(Another definition for steel wool that I've seen is " household cleaner".)