The most common and most likely answer to this crossword clue is the 13 letter word DISTINGUISHED
I've seen this crossword clue in The Guardian
D
I
S
T
I
N
G
U
I
S
H
E
D
More clues leading to the result DISTINGUISHED
- Determined to be famous
- Made out one wearing suit, shedding pants
- Eminent doctor hiding studies
- Eminent inspector with poor suiting dropped
- Made out to be famous
- Famous get pointed out
- Eminent inspector – smart, upper-class one – lost
- Unsettling hint admitted in parts by disguised noble
- Identified as outstanding
- Recognised noble
Buddy explains!

The straight part
We know that "Eminent" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case eminent = distinguished.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 DISTINGUISHED mean?
DISTINGUISHED verb- To recognize someone or something as different from others based on its characteristics.
- To see someone or something clearly or distinctly.
- To make oneself noticeably different or better from others through accomplishments.
- To make to differ.
- Celebrated, well-known or eminent because of past achievements; prestigious
- Having a dignified appearance or demeanor
- Specified, noted.