The most common and most likely answer to this crossword clue is the 6 letter word BYWORD
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More clues leading to the result BYWORD
Buddy explains!

The straight part
We know that "example" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case example = byword.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 BYWORD mean?
BYWORD noun- A proverb or proverbial expression, common saying; a frequently used word or phrase.
- A characteristic word or expression; a word or phrase associated with a person or group.
- Someone or something that stands as an example (i.e. metonymically) for something else, by having some of that something's characteristic traits.
- An object of notoriety or contempt, scorn or derision.
- A nickname or epithet.