so I’m playing a underdark campaign and I need help coming up with a name for my tavern. 

I am imagining it as a frat house sort of vibe where the locals come to just let loose and drink

small “kitchen” in the back small  menu 

perhaps a young bar hop that might be almost too young to be working in a tavern

dwarven/duregar locals  

Bloodbath and Beyond

Hellish Rebuke

Highway to Hell

PM me if you want to hear more ideas.

Was just coming up for names in the Out of the Abyss game I’m running and using one of those online generators I got “The Ooze and Ogre” which sounded like a fun Underdark tavern/inn. 

Root Beer Cask

What online generator did you use?

I didn't use any online name generator.

I used this one. http://www.mithrilandmages.com/utilities/Inns.php

I use fantasynamegenerators.com for a lot of character name inspiration but unfortunately their tavern names seem more silly than useful.

Frat house vibe in the Underdark? UU? Underdark University?

The Taproom? The Grease Trap? Ye Ol' Malt Shoppe?

The Malted Myconid

Vhaerun's Rest

The Light of Lolth

Selvetarm's Respite

The Spider Queen's Loft

 The Five Masks

The Handsome Duergar

A Thralls Retreat

The Slave Hive

The Noble Illithid

The Elder Brain's Home