The most common and most likely answer to this crossword clue is the 8 letter word TEMERITY
I've seen this crossword clue in The Guardian
T
E
M
E
R
I
T
Y
More clues leading to the result TEMERITY
- They must scrub hard without advantage? Cheek!
- Credit cuts all the same, flipping cheek!
- Even reading up about desert shows recklessness
- Crime writer Josephine pens Award for Audacity
- Audacity — virtue they heartlessly welcomed
- Daring, though looking back? There’s value in that
- . Brass, though rejected, has value
- Revolutionary flag encountered in front of yard showing rashness
Buddy explains!

The straight part
We know that "cheek" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case cheek = temerity.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 TEMERITY mean?
TEMERITY noun- Reckless boldness; foolish bravery.
- An act or case of reckless boldness.
- Effrontery; impudence.