The most common and most likely answer to this crossword clue is the 9 letter word RECTITUDE
I've seen this crossword clue in The Daily Telegraph
R
E
C
T
I
T
U
D
E
More clues leading to the result RECTITUDE
- Integrity? Full assurance requires two characters swapping places
- . Integrity of conviction leads to criminal record being overturned
- Goodness, die cutter in need of repair
- Erudite drunk holding court? Goodness!
- Fantastic credit about workers beginning to exhibit integrity
- Throw dice with utter scrupulousness
- . Integrity — time to check, reduce it going all round
Buddy explains!

The straight part
We know that "integrity" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case integrity = rectitude.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 RECTITUDE mean?
RECTITUDE noun- Straightness; the state or quality of having a constant direction and not being crooked or bent.
- The fact or quality of being right or correct; correctness of opinion or judgement.
- Conformity to the rules prescribed for moral conduct; (moral) uprightness, virtue.