The most common and most likely answer to this crossword clue is the 6 letter word CHEERS
I've seen this crossword clue in Independent
C
H
E
E
R
S
More clues leading to the result CHEERS
- Acclamation in church always before start of sermon
- Encourages outsiders in crunch elite races
- Shouts encouragement in board game with centre hidden
- Good health food succeeded
- Applauds revolutionary society locking up Her Maj
- Good health makes you feel better
- Singer’s keeping last of home comforts
- Toast, or something to put on it, mostly containing trace of rennet
- 9 taps by phone company get leaders of Republicans sacked
- After church, rector enters retired bishop’s office for toast
Buddy explains!

The straight part
We know that "round of applause" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case round of applause = cheers.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 CHEERS mean?
CHEERS noun- A cheerful attitude; happiness; a good, happy, or positive mood.
- That which promotes good spirits or cheerfulness; provisions prepared for a feast; entertainment.
- A cry expressing joy, approval or support such as "hurray".
- A chant made in support of a team at a sports event.
- One's facial expression or countenance.
- One's attitude, mood.
- To gladden; to make cheerful; often with up.
- To infuse life, courage, animation, or hope, into; to inspirit; to solace or comfort.
- To applaud or encourage with cheers or shouts.
- A common toast used when drinking in company.
- Goodbye, especially as a sign-off in an email or after writing a comment.
- Thank you