The most common and most likely answer to this crossword clue is the 5 plus 4 letter word BEAUX ARTS
I've seen this crossword clue in The Guardian
B
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Buddy explains!
The straight part
We know that "High culture/High culture" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case high culture/high culture = beaux arts.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 BEAUX ARTS mean?
BEAUX ARTS noun- The fine arts, especially in reference to the widely imitated conventional type of art and architecture advocated at the École des Beaux-Arts in Paris.