noun:
1) A teacup originating from Russia.
adjective:
1) A word or phrase that has no double meaning or innuendo.
verb:
1) 'searching for the Russian Teacup' is the act of trying to find a double meaning or innuendo in something that doesn't have one, usually for comedic effect.
1) Guy 1: Man, this is really heavy..
Guy 2: That's what she said!
Guy 1: Dude, get your head out of the gutter, you know that was a Russian Teacup.
2) Guy 1: And then I opened her jar...
-silence-
Guy 1: Yeah, I was trying to think of an innuendo for that but I don't think it has one...
Girl 1: Me too, I guess we were both searching for the Russian Teacup.