The most common and most likely answer to this crossword clue is the 10 letter word SUSPENDERS
I've seen this crossword clue in Independent
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More clues leading to the result SUSPENDERS
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The straight part
We know that "lingerie" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case lingerie = suspenders.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 SUSPENDERS mean?
SUSPENDERS noun- A pair of straps crossing one's shoulders and extending down to one's trousers, where a clip or button arrangement allows them to affix to the trousers, ensuring that they will not fall off. Braces.
- Small straps, attached to a suspender belt, that hold up a woman's stockings. Garters.