• 薬局やっきょく — pharmacy
• 局面きょくめん — situation, aspect
• 難局なんきょく — difficult situation
• 局所きょくしょ — local area / localized spot
• 対局たいきょく — match (esp. in Go/Shogi)
• 当局とうきょく — the authorities
• 郵便局ゆうびんきょく — post office

The character 局 originally showed the bent arm of a body, but its meaning shifted toward division or office. Today it is used widely in organizations and place names — especially in government and broadcasting.

郵便局ゆうびんきょくは この先さきにあります。
The post office is just ahead.

彼かれは 本局ほんきょくで 働はたらいています。
He works at the main office.