The most common and most likely answer to this crossword clue is the 9 letter word JOCKSTRAP
J
O
C
K
S
T
R
A
P
Buddy explains!
The straight part
We know that "support" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case support = jockstrap.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 JOCKSTRAP mean?
JOCKSTRAP noun- An athletic supporter worn by men to support the genitals during strenuous exercise.