What does the cryptic crossword clue "Undeserving rich and their pampered pets? (3,4)" mean?

The definition is "Undeserving rich and their pampered pets?". The wordplay uses a double definition. Double definition The answer is FATCATS.

Undeserving rich and their pampered pets? (3,4)

Guardian Cryptic #29256 | 1 Down | 2023-12-18 flower