The most common and most likely answer to this crossword clue is the 4 letter word RIFF
I've seen this crossword clue in The Daily Telegraph
R
I
F
F
More clues leading to the result RIFF
- Low life, right one, very loud air force female
- A bit of jazz as a duty? No thanks!
- Constantly repeated phrase about fine female artist is rubbish
- Flirty friar collects fine, following female faex populi
- In gin, this jam would be something monstrous
- Queen provided loud hook
- Commoners repeated phrase loudly after service
- Musical phrase about fine female artist’s undesirable people
- With guitar’s backing, I very loudly improvise on a theme
- Repeated phrase about very loud artist and undesirables
Buddy explains!

The straight part
We know that "undesirable people" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case undesirable people = riff.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 RIFF mean?
RIFF noun- A repeated instrumental melody line in a song.
- A clever or witty remark.
- A variation on something.
- A spoof.
- To improvise in the performance or practice of an art, especially by expanding on or making novel use of traditional themes.
- To riffle.
- The belly; the bowels.