The most common and most likely answer to this crossword clue is the 4 plus 5 letter word BEAU GESTE
I've seen this crossword clue in The Daily Telegraph
B
E
A
U
G
E
S
T
E
More clues leading to the result BEAU GESTE
- Sweetheart gets upset about ending in feature film
- A massive Cockney in top European film
- Animal biting ’umongous elephant’s head in adventure story
- Sweetheart gets upset about ending in adventure novel
- Busy person entertaining a guest, surprisingly gracious act
- Adventure novel unexpectedly about geese, nothing less
- Stay for a month — is French English making a fine gesture?
Buddy explains!

The straight part
We know that "gracious act" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case gracious act = beau geste.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.