Getting a rim job, but without anal penetration...
Getting your asshole licked, only along the outter
ring of the sphinct
hole, or "brim" if you will.
The art of licking the outer edge of someones balloon
Sally: "what do you mean you dont like rimjobs?"
Jason: "I guess I just dont want
your tongue in my asshole"
Sally: "OK how about
a brimjob then?"
Jason: "Mmmmm, Yessiiir!"