The most common and most likely answer to this crossword clue is the 10 letter word NEEDLEWORK
I've seen this crossword clue in The Times
N
E
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K
More clues leading to the result NEEDLEWORK
- Want the French to cultivate tapestries?
- Want extremely lucrative job: sewer business?
- Something perhaps crafty to go after hostility
- Piece of sewer complex lowered kilometres beneath Tyneside
- Dreadfully reek — old and new sewers do that
- Irritating job for a seamstress?
- Eccentric drew leek on embroidery
- Injuring knee lower, dagger’s first to go in — is that sharp practice?
- Acupuncturist’s craft?
Buddy explains!

The straight part
We know that "tapestries" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case tapestries = needlework.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 NEEDLEWORK mean?
NEEDLEWORK noun- The art or process of working with a needle especially in embroidery or needlepoint.
- The product of such art or process.
- The occupation or employment of a person skilled in embroidery, needlepoint, etc.