The most common and most likely answer to this crossword clue is the 9 plus 6 letter word CROSSWORD SETTER
I've seen this crossword clue in Independent
C
R
O
S
S
W
O
R
D
S
E
T
T
E
R
More clues leading to the result CROSSWORD SETTER
- Go over promise with one of my best friends and me?
- Odd bits of carbon, sulphur, steel and cement, possibly, for me?
- Who created this chromium-coated badge containing more than one steel?
- Group cutting worst records ruined me
- In this case, yours truly‘s record set’s worst being scratched
- It could be me being irritated by dispute about new leader in Downing Street
- Guy in today’s paper with news on mad dog
Buddy explains!

The straight part
We know that "me?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case me? = crossword setter.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.