The most common and most likely answer to this crossword clue is the 8 plus 7 letter word COSMETIC SURGERY
I've seen this crossword clue in The Daily Telegraph
C
O
S
M
E
T
I
C
S
U
R
G
E
R
Y
More clues leading to the result COSMETIC SURGERY
- Correct my issue – good after work?
- Wobbly customer is grey, about a hundred? This may improve appearance
- Celeb’s first cry — ‘It’s gruesome’ — after treatment — such as this?
- Work to improve appearances in theatre
- Theatre work possibly faced?
- Operation corrects my guise, perhaps
- Work of the features editor?
- Operating procedure turning customer grey
- One of us jerks driver in friendly attempt to save face, perhaps
Buddy explains!

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.