The most common and most likely answer to this crossword clue is the 9 letter word PRINCETON
I've seen this crossword clue in Financial Times
P
R
I
N
C
E
T
O
N
More clues leading to the result PRINCETON
- University town, not western? Charming, perhaps, earlier
- Half of college heads at school or university
- Where one may study royal fashion
- Romeo in fix around college and university
- University marketing incorporated college
- Pop star to name university
- Establishment represented by NUJ?
- Royal college’s head leaving for US university
- Pop singer leading fashionable people in US town
- Number in charge not from South American university
Buddy explains!
The straight part
We know that "Establishment" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case establishment = princeton.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.