From Dungeons of Dredmor Wiki
Like, chill out and stuff.
The Mellow Shrine is one of several distinctive objects alongside the Monolith
and the Shrine of Eyeballs
that are the focus point of certain quests given out by Inconsequentia
, Goddess of Pointless Sidequests. If clicked on without a quest item selected a message appears saying "The mellow shrine makes you want to like, chill out and stuff."