The most common and most likely answer to this crossword clue is the 5 plus 2 letter word CARVE UP
I've seen this crossword clue in Independent
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More clues leading to the result CARVE UP
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The straight part
We know that "distribution" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case distribution = carve up.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 CARVE UP mean?
CARVE UP noun- The act or instance of dishonestly prearranging the result of a competition.
- The distribution of something, as of money or booty.