The most common and most likely answer to this crossword clue is the 11 letter word IRREDUCIBLE
I've seen this crossword clue in Independent
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Buddy explains!

The straight part
We know that "unable to be crushed further?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case unable to be crushed further? = irreducible.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 IRREDUCIBLE mean?
IRREDUCIBLE noun- Such a polynomial
- Not able to be reduced or lessened.
- Not able to be brought to a simpler or reduced form.
- (of a polynomial) Unable to be factorized into polynomials of lower degree, as (x2 + 1).
- (of a fraction) Whose numerator and denominator share no common factor greater than 1.
- (of an integer) Unable to be factored into smaller integers; prime.
- (of an element of a ring) that its only divisors are units and associates.
- (of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball.
- (of a representation) Impossible to divide further into representations of lower dimension by means of any similarity transformation.