kremlinology is the term for any political intelligence gathering that's all second-order. In the canonical case of the Kremlin it's because it was very difficult to get inside data and even then there were so many moving parts that you needed an expert in just that area who had alot of data like who was having drinks with whom to predict who might be on the out and who might be ascendant.
There was one analyst reading Pravda who noticed a lot of people were suddenly being promoted into positions held by members of a certain large clique, with no notice about what was happening to the former appointees.
After one of the nuclear treaties was signed, there was a guy whose photo was published in Pravda, shaking hands with Gorbachev; a different fresh photo of him shaking hands with Gorbachev every day for an entire month. He turned out to be the head of the ministry of strategic deception.
kremlinology is an old pre-1989 term for people trying to observe and interpret the workings of a tightly sealed institution. Could be used for Vatican rumors and news, too, for example, or North Korea, etc.
Similar to that idea of trying to derive stuff from an indirect channel, but much more distant. (There is an obvious link between food consumption and building occupancy.)
Stuff like watching the order of names on public lists of attendees for dinner events, etc. If someone disappeared or moved off the top few names, perhaps they're in trouble or have been purged from the party ... or maybe they're just sick this week.
