To remain in one place in the air, often by flapping wings or using other means of propulsion. The helicopter hovered over the landing pad before touching down.
To linger or remain in a place or situation, often with an air of uncertainty or indecision. She hovered over the decision for days, unsure of what to do.
To move to a position over something, often used in the context of computer interfaces where a cursor is placed over an item. When you hover over the icon, a tooltip will appear with more information.