The most common and most likely answer to this crossword clue is the 9 plus 6 letter word TRAPEZIUS MUSCLE
I've seen this crossword clue in The Guardian
T
R
A
P
E
Z
I
U
S
M
U
S
C
L
E
Buddy explains!
The straight part
We know that "member might be lifted by this?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case member might be lifted by this? = trapezius muscle.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.