The most common and most likely answer to this crossword clue is the 14 letter word BARGAIN-HUNTER
I've seen this crossword clue in The Times
B
A
R
G
A
I
N
-
H
U
N
T
E
R
Buddy explains!

The straight part
We know that "Unearthing bra, slashed? That's for me!" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case unearthing bra, slashed? that's for me! = bargain-hunter.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.