The most common and most likely answer to this crossword clue is the 7 letter word IN-JOKE
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More clues leading to the result IN-JOKE
Buddy explains!

The straight part
We know that "that only amuses some" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case that only amuses some = in-joke.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 IN-JOKE mean?
IN-JOKE noun- A joke that is understood or meant to be understood only by certain people who are aware of the details.