The most common and most likely answer to this crossword clue is the 7 letter word BRAVURA
I've seen this crossword clue in The Guardian
B
R
A
V
U
R
A
More clues leading to the result BRAVURA
Buddy explains!

The straight part
We know that "display of great spirit" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case display of great spirit = bravura.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 BRAVURA mean?
BRAVURA noun- A highly technical or difficult piece, usually written for effect.
- A display of daring.
- Overly showy; ostentatious.