The most common and most likely answer to this crossword clue is the 10 letter word CORRUPTION
I've seen this crossword clue in The Guardian
C
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More clues leading to the result CORRUPTION
Buddy explains!

The straight part
We know that "Dishonesty/Rot" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case dishonesty/rot = corruption.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 CORRUPTION mean?
CORRUPTION noun- The act of corrupting or of impairing integrity, virtue, or moral principle; the state of being corrupted or debased; loss of purity or integrity
- The act of corrupting or making putrid, or state of being corrupt or putrid; decomposition or disorganization, in the process of putrefaction; putrefaction; deterioration.
- The product of corruption; putrid matter.
- The decomposition of biological matter.
- The seeking of bribes.
- The destruction of data by manipulation of parts of it, either by deliberate or accidental human action or by imperfections in storage or transmission media.
- The act of changing, or of being changed, for the worse; departure from what is pure, simple, or correct.
- A debased or nonstandard form of a word, expression, or text, resulting from misunderstanding, transcription error, mishearing, etc.
- Something originally good or pure that has turned evil or impure; a perversion.