Cryptic crossword clue
Elder Dumbledore maybe an egotist

The most common and most likely answer to this crossword clue is the 3 plus 4 letter word BIG HEAD

I've seen this crossword clue in Independent
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Buddy explains!

The straight part
We know that "egotist" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case egotist = big head.
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.

Crossword Answer definitions

BIG HEAD noun
  1. (especially used by children) A person having an inflated opinion of himself; a conceited or arrogant person.
  2. One of several species of fish having a large head.
  3. One of several animal diseases that cause swelling of the head.

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