The most common and most likely answer to this crossword clue is the 6 letter word INDEED
I've seen this crossword clue in Financial Times
I
N
D
E
E
D
More clues leading to the result INDEED
- Popular act, without doubt
- Certainly that's in legal document
- Surely that could be denied
- Certainly popular act
- Certainly fashionable to have legal document
- I require that disco at first should break even
- River in India, certainly
- How one may sin? Exactly
- Fashionable legal document? I'll say!
- Really popular act
Buddy explains!

The straight part
We know that "Quite" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case quite = indeed.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 INDEED mean?
INDEED adverb- (modal) Truly; in fact; actually.
- (degree, after the adjective modified) In fact.
- Indicates emphatic agreement.
- With interrogative intonation (low-high) indicates serious doubt.