The most common and most likely answer to this crossword clue is the 9 letter word ACCORDION
I've seen this crossword clue in The Times
A
C
C
O
R
D
I
O
N
More clues leading to the result ACCORDION
- Backing off, agreeing to accept nothing - that'll produce noise from squeezed middle
- Unity at home full of love: give me a squeeze!
- . Harmony at home’s broken by love for squeezebox!
- Agreement to one playing instrument
- Line, one nailed by a fool one’s played
- Agreement to unit working the instrument
- Agree with boss, pointing up instrument
- Head of conservatoire appearing again on radio, playing instrument
- Performance dropping tango for string instrument
- Nearly being in harmony squeezing old instrument
Buddy explains!

The straight part
We know that "that'll produce noise from squeezed middle" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case that'll produce noise from squeezed middle = accordion.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 ACCORDION mean?
ACCORDION noun- A small, portable, keyed wind instrument, whose tones are generated by play of the wind from a squeezed bellows upon free metallic reeds.
- A vertical list of items that can be individually expanded and collapsed to reveal their contents.
- To fold up, in the manner of an accordion