The most common and most likely answer to this crossword clue is the 7 letter word ELITIST
I've seen this crossword clue in Independent
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More clues leading to the result ELITIST
- English Literature is ultimately subject privileging the select few
- Not for losers, it breaks European record
- English literature is initially terribly highbrow?
- Titles, I suspect, will reveal a snob?
- Snob appearing in novel? It is true!
- Exclusive European register includes Italian
- One’s taken in by fancy titles, interested only in top people
- Fond of the cream filling for caramel? It is tasty
- No egalitarian is held with fists when stripped
- It is adopted by fifth-rate celebs and privileged
Buddy explains!

The straight part
We know that "over the heads of most people" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case over the heads of most people = elitist.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 ELITIST mean?
ELITIST noun- (usually derogatory) Someone who believes in or is perceived as believing in rule by an elite group.
- Of or relating to elitism.