The most common and most likely answer to this crossword clue is the 6 letter word DAMASK
I've seen this crossword clue in The Guardian
D
A
M
A
S
K
More clues leading to the result DAMASK
- Prosecutor not to reveal being a silk
- Madam, a skirt will contain this material
- Material question: cracked up over that
- Enquire after barrier material
- US prosecutor to cover up material
- Keen about demand for patterned material
- Fabric for attorney’s cloak
- A veil on head of delightful rose
- Block demand for fine fabric
- Material to conceal outmoded hairstyle on top
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 = damask.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 DAMASK mean?
DAMASK noun- An ornate silk fabric originating from Damascus.
- Linen so woven that a pattern is produced by the different directions of the thread, without contrast of colour.
- A heavy woolen or worsted stuff with a pattern woven in the same way as the linen damask; made for furniture covering and hangings.
- Damascus steel
- The peculiar markings or water of such steel.
- A damask rose, Rosa × damascena.
- A grayish-pink color, like that of the damask rose.
- To decorate or weave in damascene patterns
- Of a grayish-pink color, like that of the damask rose.