The most common and most likely answer to this crossword clue is the 8 letter word AFFLUENT
I've seen this crossword clue in The Guardian
A
F
F
L
U
E
N
T
More clues leading to the result AFFLUENT
- American female — elegant and wealthy
- A female, smooth-spoken and well-to-do
- Waste product’s first to go after a flush
- American female - elegant and wealthy
- Worker encloses fine channel: that’s a bit rich
- Rich, a female speaking foreign language well
- Extremely aloof, graceful and rich
- A loud and voluble description of a very rich society
- Loaded condition with directions to be involved in a newspaper
- A female, articulate and rich
Buddy explains!

The straight part
We know that "rich" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case rich = affluent.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 AFFLUENT mean?
AFFLUENT noun- Somebody who is wealthy.
- A stream or river flowing into a larger river or into a lake; a tributary stream; a tributary.
- Abundant; copious; plenteous.
- (by extension) Abounding in goods or riches; having a moderate level of material wealth.
- Tributary.
- Flowing to; flowing abundantly.