The most common and most likely answer to this crossword clue is the 7 letter word DOESKIN
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More clues leading to the result DOESKIN
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 = doeskin.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 DOESKIN mean?
DOESKIN noun- Leather from the skin of a female deer or sheep.
- The hide of a doe, as opposed to a buck.
- (chiefly in the plural) A glove made of doeskin leather.
- A very soft, close-napped fabric, especially of high quality.