A top, not very abbreviated, in cotton fabric (6)

I believe the answer is:

aertex

'cotton fabric' is the definition.
(aertex is a type of cotton fabric)

'a top not very abbreviated' is the wordplay.
'top' becomes 'vertex' (vertex can mean something's highest point).
'not' suggests deleting specific letters.
'very abbreviated' becomes 'v' (abbreviation for 'very').
'vertex' with 'v' removed is 'ertex'.
'a'+'ertex'='AERTEX'

'in' acts as a link.

I've seen this clue in The Guardian.

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