The most common and most likely answer to this crossword clue is the 10 letter word ESTRANGING
I've seen this crossword clue in Independent
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More clues leading to the result ESTRANGING
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The straight part
We know that "Cutting ties with" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case cutting ties with = estranging.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 ESTRANGING mean?
ESTRANGING verb- To cause to feel less close or friendly; alienate. To cease contact with (particularly of a family member or spouse, especially in form estranged).
- To remove from an accustomed place or set of associations.
- That estranges; alienating, disorienting.