2. office (e.g. post, telephone); broadcasting station (e.g. television, radio); channel; exchange
いろんな局で流れてるんですけど。It's being broadcast on all sorts of stations.
3. affair; situation
4. game (of go, shogi, etc.)
年間で十局指さずに終わってしまうこともあるのだ。Some years, you end up playing fewer than ten games.