Oblomov's in the Nethergate, opened in 1987, which means I just missed out on frequenting this place, having departed Dundee the year before.
On a return visit however, I remember popping into the pub for a wee nosey, because I used to go to it's previous incarnation, Chequers, quite a lot. Chequers was typically done up in 80's bright green, but I think Oblomov opted for a black, white & red colour scheme. I was only in for around an hour or so, so can't claim to be an expert on the place. I do remember there being a few trendy types when I was in though.
These 2 ads are both from 1988.
The top one is just basic stuff about it's hours of biz.
The one below it is advertising a gig by local outfit, Big Blue 72.