The most common and most likely answer to this crossword clue is the 3 plus 6 letter word AIR JACKET
I've seen this crossword clue in The Guardian
A
I
R
J
A
C
K
E
T
Buddy explains!
The straight part
We know that "Mae West" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case mae west = air jacket.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.