The most common and most likely answer to this crossword clue is the 2 plus 4 plus 4 letter word NO SUCH LUCK
N
O
S
U
C
H
L
U
C
K
Buddy explains!

The straight part
We know that "chance’d be a fine thing" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case chance’d be a fine thing = no such luck.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.