The most common and most likely answer to this crossword clue is the 8 letter word MISTRIAL
I've seen this crossword clue in Financial Times
M
I
S
T
R
I
A
L
More clues leading to the result MISTRIAL
- Bad hearing with one standing in the wind
- Faulty hearing from one being stuck in violent wind
- Poor hearing, when one is in the wind
- Nasty blow including one in case of injustice
- Aborted examination as first person breaks wind
- Cold wind limiting one’s defective hearing?
- Bad case of wind gripping one
- Strong wind around island washed up case, perhaps
- One caught in wind — a trying experience that’s unfair
- Wind that will cover one’s bad hearing
Buddy explains!

The straight part
We know that "case of injustice" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case case of injustice = mistrial.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 MISTRIAL mean?
MISTRIAL noun- A trial that has been declared invalid because of an error in procedure, or because of hung jury.