This wood veneer design cigarette dispenser was almost certainly made in China or Japan in the 1925-1930 period. It is for regular size cigarettes (King size introduced by Pall Mall in 1939) and pushing the bird down opens a drawer and it fetches a cigarette in its beak. The unit has a small ashtray atop the cigarette container.
Carried in the pocket - both before and after the advent of lighters - these provide a safe and convenient way of carrying matches. Match safes were VERY important because matches used to be very important as the primary means of lighting fire. See the article A Brief History of Cigarette Lighters to find out how they evolved and how dangerous they once were!
Push button open - Oriental lacquer finish IAK-0AC