The most common and most likely answer to this crossword clue is the 10 letter word HARMONICAS
I've seen this crossword clue in The Daily Telegraph
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Buddy explains!

The straight part
We know that "blowing instruments" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case blowing instruments = harmonicas.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 HARMONICAS mean?
HARMONICAS noun- A musical wind instrument with a series of holes for the player to blow into, each hole producing a different note
- A musical instrument, consisting of a series of hemispherical glasses which, by touching the edges with the dampened finger, give forth the tones.
- A toy instrument of strips of glass or metal hung on two tapes, and struck with hammers.