Cryptic crossword clue
Cable binds black line after home’s impossible to conquer 10

The most common and most likely answer to this crossword clue is the 10 letter word INVINCIBLE

I've seen this crossword clue in The Guardian
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Buddy explains!

The straight part
We know that "impossible to conquer" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case impossible to conquer = invincible.
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 INVINCIBLE mean?

INVINCIBLE noun
  1. Someone or something that cannot be defeated, destroyed or killed.
INVINCIBLE adjective
  1. Impossible to defeat, destroy or kill; too powerful to be defeated or overcome.

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