The most common and most likely answer to this crossword clue is the 10 letter word PAINTBRUSH
I've seen this crossword clue in The Daily Telegraph
P
A
I
N
T
B
R
U
S
H
More clues leading to the result PAINTBRUSH
- I ban turps, which is odd on hard applicator such as this
- Suffering disease, charge 1’s applicator
- Punish brat somehow? Constable would use this
- Constable would have had one tidying up trash in pub
- Producer of wall-to-wall coverage getting grief over Trump’s inauguration runs into ex-president
- Suffering consumption drug’s sudden effect, one could put a coat on
- Suffering illness alongside career that’s involved in graphic art
- Implement used for decorating different parts in hub
Buddy explains!

The straight part
We know that "Constable would have had one" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case constable would have had one = paintbrush.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 PAINTBRUSH mean?
PAINTBRUSH noun- A thin brush for applying paint.