Unfolds oily cheese from a cloth with a silky, crispy texture (7)
I believe the answer is:
taffeta
'a silky crispy texture' is the definition.
Although both the answer and definition are singular nouns, I don't see how one could define the other.
'unfolds oily cheese from a cloth' is the wordplay.
I cannot really see how this works, but
'cheese' could be 'feta' (I've seen this before) and 'feta' is found in the answer.
'a' is present in the answer.
This may be the basis of clue (or it may be nonsense).
'with' acts as a link.
Can you help me to learn more?
(Other definitions for taffeta that I've seen before include "stuff made for dressing" , "cloth" , "Shiny silk fabric" , "A shiny silklike fabric" , "Thin silky material" .)