The most common and most likely answer to this crossword clue is the 4 plus 3 plus 6 letter word DEAD CAT BOUNCE
I've seen this crossword clue in Financial Times
D
E
A
D
C
A
T
B
O
U
N
C
E
Buddy explains!
The straight part
We know that "Weak stock market rally" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case weak stock market rally = dead cat bounce.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.