The most common and most likely answer to this crossword clue is the 12 letter word EPIGLOTTISES
E
P
I
G
L
O
T
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I
S
E
S
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The straight part
We know that "mouthpieces" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case mouthpieces = epiglottises.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 EPIGLOTTISES mean?
EPIGLOTTISES noun- A cartilaginous organ in the throat of terrestrial vertebrates covering the glottis when swallowing to prevent food and liquid from entering the trachea, and in Homo sapiens also a speech organ.