Actually, I hear it very frequently on political shows, as a synonym for “Inside the Beltway,” which is pretty much only heard on political shows (with that meaning, anyway), and so may be a better example.
Douglas Hofstadter is obsessed with self referential statements. Read all about it in Gödel, Escher, Bach, the Eternal Golden Braid. The most famous is the mathematical self referential statement that is the basis of the proof of Gödel’s Theorem. My favorite, however, is:
Hofstadter’s Law: Everything takes longer than you expect, even after you’ve taken into account Hofstadter’s Law.
I just looked it up, it is worded slightly differently: It always takes longer than you expect, even when you take into account Hofstadter’s Law.
When Martin Gardner retired from writing his Mathematical Games column for Scientific American, Hofstadter took it over with a new column called “Metamagical Themas” (which was quickly discovered to be an anagram of Mathematical Games). Even then, he was obsessed with self-referential themes of the sort that he was obsessed with, being obssessed with them as he was. It became clear rather quickly that he was a one-trick pony, and his column didn’t last long.