The most common and most likely answer to this crossword clue is the 5 letter word AMUSE
I've seen this crossword clue in The Times
A
M
U
S
E
More clues leading to the result AMUSE
- Entertain a Greek goddess, one of nine
- Raise a smile in morning service
- Divert from morning employment
- Humour a daughter of Mnemosyne
- Tickle the ivories: you perform sonata, finally, when retired
- A sister that’s one of nine, please
- Morning milk, please
- In the first half of the day employ charm
- Delight in the morning milk
- Delight in the morning service
Buddy explains!

The straight part
We know that "Divert" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case divert = amuse.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 AMUSE mean?
AMUSE verb- To entertain or occupy in a pleasant manner; to stir with pleasing emotions.
- To cause laughter or amusement; to be funny.
- To keep in expectation; to beguile; to delude.
- To occupy or engage the attention of; to lose in deep thought; to absorb; also, to distract; to bewilder.