The most common and most likely answer to this crossword clue is the 9 letter word STANDINGS
I've seen this crossword clue in Independent
S
T
A
N
D
I
N
G
S
Buddy explains!
The straight part
We know that "Reputations" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case reputations = standings.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 STANDINGS mean?
STANDINGS noun- Position or reputation in society or a profession.
- Duration.
- The act of a person who stands, or a place where someone stands.
- The position of a team in a league or of a player in a list.
- Room in which to park a vehicle or vehicles
- The right of a party to bring a legal action, based on the relationship between that party and the matter to which the action relates.
- A collective list of the standing of each team in a league.