Cryptic crossword clue
University administrator's very cool — will risk putting up the list 4,10

The most common and most likely answer to this crossword clue is the 4 plus 10 letter word VICE CHANCELLOR

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Buddy explains!

The straight part
We know that "University administrator" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case university administrator = vice chancellor.
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 VICE CHANCELLOR mean?

VICE CHANCELLOR noun
  1. An official holding a rank immediately below that of chancellor.
  2. A lower judge of chancery.
  3. In Roman Catholicism, the cardinal whose duty it is to draft and dispatch papal bulls and briefs.

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