The most common and most likely answer to this crossword clue is the 6 letter word SKIMPY
I've seen this crossword clue in The Guardian
S
K
I
M
P
Y
More clues leading to the result SKIMPY
- Philby stops one like him revealing a lot
- Mole protects Philby revealing much
- Short novel acquired by agent
- Revealing book by Kipling, notice covers
- Snoop around a Kardashian exhibiting flesh
- Kipling character to watch out, in short
- Mean runner married Penny, heartlessly
- Naughty thing’s wearing blue that’s very revealing!
- Very mean devil with the blue clothing
- Mean of secret agent framing Philby, say
Buddy explains!

The straight part
We know that "exhibiting flesh" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case exhibiting flesh = skimpy.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 SKIMPY mean?
SKIMPY noun- (Western Australia) A barmaid who wears little clothing.
- Small or inadequate; not generous, or of a garment, very small, light, or revealing.