The most common and most likely answer to this crossword clue is the 7 letter word RETRIAL
I've seen this crossword clue in The Sunday Telegraph
R
E
T
R
I
A
L
More clues leading to the result RETRIAL
- Runs one later scrambled in test, after failure in first
- Hearing once again Blair term essentially needs reviewing
- Runs I later scrambled in test, following failure in first
- Hearing again about shelter — time to turn over
- Appeal, maybe, of material fringing short dress
- Tail err badly in second test
- Ringleader I put inside after being sent back for new case
- Attempt another pathetic trailer
- Three with nothing to lose in genuine legal procedure
- Right lead for Iolanthe found in subsequent recall for second audition
Buddy explains!

The straight part
We know that "new case" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case new case = retrial.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 RETRIAL mean?
RETRIAL noun- A second trial, by the original court, if the original trial was found to be improper or unfair