The most common and most likely answer to this crossword clue is the 9 letter word VELVETEEN
I've seen this crossword clue in The Sunday Telegraph
V
E
L
V
E
T
E
E
N
Buddy explains!

The straight part
We know that "fabric" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case fabric = velveteen.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does VELVETEEN mean?
VELVETEEN noun- A cotton fabric with a short pile, resembling velvet.