one who fights is a beatery.

a boxing ring is also a beatery.

a whorehouse would be a cheatery.

one who tidies is a neatery.

bakeries are wheatery.

a dockyard's a fleetery.

a barnyard's a teatery.

the bookstore's a readery.

a racetrack's competery.

a hot day is heatery.

a butcher is meatery.

if you don't know what's coming up next in the play, it's unforscenery.