The most common and most likely answer to this crossword clue is the 8 letter word BAGPIPER
I've seen this crossword clue in The Daily Telegraph
B
A
G
P
I
P
E
R
More clues leading to the result BAGPIPER
- Get hold of artist and musician
- Player gets sack — supporter takes a pee
- Acquire stout upright piano imported for musician
- Graduate doctor, one for each player
- Brother stores silver tubing for musician
- Get the hump with Queen’s musician
- Skirted musician bringing silver flute into empty bar
- Note smoker in pub is a musician
- One blows out air using silver tube with brown coating
- Good hookah in tavern for musician
Buddy explains!

The straight part
We know that "Skirted musician" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case skirted musician = bagpiper.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.