Something that's dinky is very small or unimportant. A college freshmen might be shocked at how dinky her dorm room is.
You might live in a dinky apartment or sit down to a child's tea party, sipping out of dinky, doll-sized tea cups. Dinky, meaning "tiny," is often used to complain about the smallness or insignificance of something: "All I get is this dinky slice of cake, after I helped you bake it?" Other meanings include a small metal model of a car and a little train car. It comes from the Scottish dink, "trim" or "neat."