The most common and most likely answer to this crossword clue is the 5 plus 6 letter word WHITE COLLAR
I've seen this crossword clue in The Daily Telegraph
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More clues leading to the result WHITE COLLAR
Buddy explains!

The straight part
We know that "describing some crime" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case describing some crime = white collar.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 WHITE COLLAR mean?
WHITE COLLAR adjective- Of or pertaining to office work and workers; contrasted with blue-collar.
- Pertaining to the culture of white-collar workers, as values, politics, etc.; contrasted with blue-collar.