The most common and most likely answer to this crossword clue is the 3 letter word MUM
I've seen this crossword clue in The Times
M
U
M
More clues leading to the result MUM
- Silent parent
- Quiet member of the family?
- Half speak unintelligibly, keeping this quiet
- Tight-lipped, one raising issue
- Silent relation
- Silent male and maiden outside university
- Silent letter, eg mnemonic’s first one
- Silent majority’s leader with hesitant expression
- Overheard: ‘Damn silence!’
- Either way silent
Buddy explains!

The straight part
We know that "keeping this quiet" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case keeping this quiet = mum.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 MUM mean?
MUM noun- Mother.
- Ma'am; a term of respect for an older woman.
- A chrysanthemum.
- Silence
- To act in a pantomime or dumb show.
- Silent.
- Secret.
- Stop speaking!, stop talking!, hush!
- A sort of strong beer, originally made in Brunswick, Germany.