When your lovely tea-party starts evolving into a raucous multi-patner sex jamborie, it is traditionally called a "Teagie" or the proper, English Orgy.
things you might overhear at a Teagie:
"I say, Mr. Farcy hosts the most stimulating Teagies that I have ever been a part of!"
"Yes, would you kindly pass me the Earl Gray and take off your pants?"
"Oh that's the spot. A little to the left. And hand me a crumpet."
"Would you like a little jam on your toast? *suggestive eyebrow wiggle*"
A very little, boring man who is easy to bully. A Teagle is usually of a similar frame to Bilbo Baggins, often with an exceptionally hairy arse and a penis which closely resembles a cocktail sausage.