The most common and most likely answer to this crossword clue is the 5 letter word KUDOS
I've seen this crossword clue in Independent
K
U
D
O
S
More clues leading to the result KUDOS
- Prestige: it follows aristocrat around, mostly
- Prestige without end, so duke reflected
- Prestige finally attained by university in Aegean island
- Credit turning round anti-British slogan
- Acclaim resulting from solving most of sudoku
- To hell with Britain: rejected honour
- Rising United Kingdom party’s prestige
- Acclaim withdrawal of anti-Brit sentiment?
- Prestige source of dates in African market rejected
- Glory in playing Sudoku endlessly
Buddy explains!

The straight part
We know that "Acclaim" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case acclaim = kudos.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 KUDOS mean?
KUDOS noun- Praise; accolades.
- Credit for one's achievements.
- A compliment or praise.