The most common and most likely answer to this crossword clue is the 2 plus 2 letter word AT IT
I've seen this crossword clue in Financial Times
A
T
I
T
More clues leading to the result AT IT
- Having relations up in Flint — Italian
- Relations supporting volunteers up for working hard
- A singer engaged in amorous activity
- A singer engaged in dubious activity?
- A small bird mating
- Tantrist regularly in flagrante delicto
- Apex’s bird working hard
- Active in crime, head of arsonists is given bird
- Occupied by a songbird
- One given to singing about criminal business
Buddy explains!

The straight part
We know that "in flagrante delicto" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case in flagrante delicto = at it.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.