The most common and most likely answer to this crossword clue is the 5 letter word GAUZE
I've seen this crossword clue in Financial Times
G
A
U
Z
E
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 = gauze.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 GAUZE mean?
GAUZE noun- A thin fabric with a loose, open weave.
- A similar bleached cotton fabric used as a surgical dressing.
- A thin woven metal or plastic mesh.
- Wire gauze, used as fence.
- Mist or haze
- To apply a dressing of gauze
- To mist; to become gauze-like.