The most common and most likely answer to this crossword clue is the 9 letter word PLEASURES
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More clues leading to the result PLEASURES
Buddy explains!

The straight part
We know that "amusements" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case amusements = pleasures.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 PLEASURES mean?
PLEASURES noun- A state of being pleased or contented; gratification.
- A person, thing or action that causes enjoyment.
- One's preference.
- The will or desire of someone or some agency in power.
- To give or afford pleasure to.
- To give sexual pleasure to.
- To take pleasure; to seek or pursue pleasure.