WordNet
supper club
n. usually a small luxurious nightclub
Wikipedia
Supper club
A supper club is a traditional dining establishment that also functions as a social club. The term may describe different establishments depending on the region, but in general, supper clubs tend to present themselves as having a high-class image, even if the price is affordable to all.
A newer usage of the term supper club has emerged, referring to underground restaurants.
Usage examples of "supper club".
The restaurant, a moderately priced supper club, had overdone itself in displaying a tropical motif.
I know that one of them is the result of boiling duck fat at the Supper Club, but other insults to the flesh have come and gone.