In the UI

If you want to allow the user to reorder items on the List, set the allowItemReordering option to true. This setting supplies each List item with a button that enables the user to move the item with drag-and-drop on mouse-equipped platforms or with touch-and-drag on touch-enabled devices.

JavaScript
$(function() {
    $("#listContainer").dxList({
        // ...
        allowItemReordering: true
    });
});
See Also