It's not Pocket D. Club Caprice is the local equivalent, though.
It's actually sort of like two different clubs rolled into one instance.
There's the techno-dance bar with flashing neon strobes, lasers, etc. That part's more like Pocket D (though without the glass floor and amazing outside view of the Shadow Shard).
Then on the other end of the club is a quiet, "high class jazz club" area. Roman columns, plush seating, fountain with pool, wood paneling, potted plants. It's the kind of place you'd expect Bruce Wayne to hold a fundraiser in.