The most common and most likely answer to this crossword clue is the 5 plus 4 letter word POINT DUTY
I've seen this crossword clue in The Daily Telegraph
P
O
I
N
T
D
U
T
Y
More clues leading to the result POINT DUTY
Buddy explains!

The straight part
We know that "a job for the police" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case a job for the police = point duty.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.