The most common and most likely answer to this crossword clue is the 9 letter word PRESCHOOL
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More clues leading to the result PRESCHOOL
Buddy explains!

The straight part
We know that "Academic institution" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case academic institution = preschool.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 PRESCHOOL mean?
PRESCHOOL noun- A nursery school.
- To provide nursery school education for.
- To undergo nursery school education.
- Of or relating to the years of early childhood before attendance at primary school.