The most common and most likely answer to this crossword clue is the 10 letter word INTONATION
I've seen this crossword clue in The Times
I
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More clues leading to the result INTONATION
- In a manner of speaking, patriotic?
- Where immigration must by definition be rising or falling?
- Where immigrant comes, chanting?
- Enthusiastic about country’s rise and fall?
- Chanting, enthusiastic about country
- Way of speaking not unusual in one country
- Pitch closed after popular race
- Speech pattern not uncommon in one state
- Keen on people chanting
- It’s hot on Haiti, maybe causing stress
Buddy explains!

The straight part
We know that "rising or falling?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case rising or falling? = intonation.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 INTONATION mean?
INTONATION noun- The rise and fall of the voice in speaking.
- The act of sounding the tones of the musical scale.
- Singing or playing in good tune or otherwise.
- Reciting in a musical prolonged tone; intonating or singing of the opening phrase of a plain-chant, psalm, or canticle by a single voice, as of a priest.
- A thundering; thunder.