The most common and most likely answer to this crossword clue is the 11 letter word REATTEMPTED
I've seen this crossword clue in Financial Times
R
E
A
T
T
E
M
P
T
E
D
Buddy explains!

The straight part
We know that "had another shot" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case had another shot = reattempted.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 REATTEMPTED mean?
REATTEMPTED verb- To attempt again.