The most common and most likely answer to this crossword clue is the 7 letter word BLOATED
I've seen this crossword clue in The Daily Telegraph
B
L
O
A
T
E
D
Buddy explains!
The straight part
We know that "excessively wealthy and pampered" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case excessively wealthy and pampered = bloated.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 BLOATED mean?
BLOATED verb- To cause to become distended.
- (veterinary medicine) to get an overdistended rumen, talking of a ruminant.
- To fill soft substance with gas, water, etc.; to cause to swell.
- To become distended; to swell up.
- To fill with vanity or conceit.
- To preserve by slightly salting and lightly smoking.
- Swollen with fluid or gas.
- Excessively or extremely large or wealthy.
- (of software) Excessively overloaded with features, known as bloatware.
- (of food) Slightly salted and lightly smoked (as in bloated herring).