The most common and most likely answer to this crossword clue is the 11 plus 1 letter word RECIDIVISM} –
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Buddy explains!
The straight part
We know that "further criminal activity" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case further criminal activity = recidivism} –.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 RECIDIVISM} – mean?
RECIDIVISM} – noun- Committing new offenses after a crime committed in the past.
- Chronic repetition of criminal or other antisocial behavior.
- (by extension) Returning to a negative behavior after having stopped it for a period of time.