The most common and most likely answer to this crossword clue is the 10 letter word ACADEMICAL
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Buddy explains!
The straight part
We know that "in a university" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case in a university = academical.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 ACADEMICAL mean?
ACADEMICAL noun- Academic dress, consisting of a cap and gown.
- Belonging to the school of Plato; believing in Plato's philosophy; sceptical .
- Pertaining to a university or other form of higher education.