The most common and most likely answer to this crossword clue is the 11 letter word OPEN-HANDED
I've seen this crossword clue in The Guardian
O
P
E
N
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H
A
N
D
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D
More clues leading to the result OPEN-HANDED
Buddy explains!

The straight part
We know that "Generous" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case generous = open-handed.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 OPEN-HANDED mean?
OPEN-HANDED verb- To perform an action using an open hand.
- Done with the hand open rather than clenched
- Liberal and generous.
- Frank, honest, and tolerant.
- Characterized by looseness and fullness.
- With an open hand or hands.
- Generously.