The most common and most likely answer to this crossword clue is the 6 plus 5 letter word MIDDLE CLASS
I've seen this crossword clue in The Times
M
I
D
D
L
E
C
L
A
S
S
More clues leading to the result MIDDLE CLASS
Buddy explains!
The straight part
We know that "bourgeois" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case bourgeois = middle class.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 MIDDLE CLASS mean?
MIDDLE CLASS adjective- Occupying a position between the upper class and the working class
- Characteristic of the middle class(es); reflective of that class's values and aspirations. Commonly associated with a desire for social respectability and an emphasis on family values and education.