The most common and most likely answer to this crossword clue is the 9 letter word HAIRSTYLE
I've seen this crossword clue in The Daily Telegraph
H
A
I
R
S
T
Y
L
E
More clues leading to the result HAIRSTYLE
- One in Harley Street shortened hideous cut
- Design of Hitler, say, combed across the forehead, perhaps?
- Bob possibly getting call after controversial musical
- Top design created by husband bearing pen used by the French
- Pageboy possibly working this early?
- Shock treatment I received in Harley St, in error
- Skinhead perhaps said ‘race means to cross country’s boundaries’
- Try Sheila’s unusual arrangement of locks
- Bob for one with a slithery move
- Distribution of lather is concealing variable result of salon treatment
Buddy explains!

The straight part
We know that "Pageboy possibly" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case pageboy possibly = hairstyle.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 HAIRSTYLE mean?
HAIRSTYLE noun- The style in which someone's hair has been cut and arranged.