The most common and most likely answer to this crossword clue is the 6 plus 6 letter word BOTTOM DRAWER
I've seen this crossword clue in The Daily Telegraph
B
O
T
T
O
M
D
R
A
W
E
R
Buddy explains!
The straight part
We know that "The underwear could go here" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case the underwear could go here = bottom drawer.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.