The most common and most likely answer to this crossword clue is the 9 letter word WHALEBONE
I've seen this crossword clue in Independent
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More clues leading to the result WHALEBONE
- How baleen is re-used?
- It could make stay with British hosts healthy one
- Now she’s able to move, without the restrictions of stays made from this?
- It would make stay with British hosts healthy one
- How baleen changes?
- Bending elbow, hen imbibing a stiffener
- Seen in corsets, horny stuff!
- Drunk her brown ale without any resistance as a stiffener
- Horny material in W. H. Auden’s introduction upset Nobel committee ultimately
Buddy explains!

The straight part
We know that "stays made from this" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case stays made from this = whalebone.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 WHALEBONE mean?
WHALEBONE noun- The horny material from the fringed plates of the upper jaw of baleen whales that are used to filter plankton; once used as stays in corsets