The most common and most likely answer to this crossword clue is the 8 letter word LAYERING
L
A
Y
E
R
I
N
G
More clues leading to the result LAYERING
Buddy explains!

The straight part
We know that "hairdresser’s work" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case hairdresser’s work = layering.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 LAYERING mean?
LAYERING verb- To cut or divide (something) into layers
- To arrange (something) in layers.
- A structure made up of layers.
- A method of plant propagation by rooting cuttings.