The most common and most likely answer to this crossword clue is the 9 letter word FLATTERED
I've seen this crossword clue in The Daily Telegraph
F
L
A
T
T
E
R
E
D
More clues leading to the result FLATTERED
- Complimented little chap drinking coffee
- Basset drinking coffee is given praise
- Sweet-talked female, embarrassed accepting coffee
- Female over coffee looking embarrassed to be buttered up
- Fellow wanting coffee and wine given servile attention
- Buttered up treat in a coffee house grasped by Fred
- Overly praised latte consumed by Fred
- Gratified, in recent days, to be apprehended by US cop
Buddy explains!

The straight part
We know that "given praise" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case given praise = flattered.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 FLATTERED mean?
FLATTERED verb- To compliment someone, often insincerely and sometimes to win favour.
- To enhance someone's vanity by praising them.
- To portray someone to advantage.
- To encourage or cheer someone with (usually false) hope.
- In a positive mood because of a comment or action which causes one to feel proud of oneself.