Basically, you can use the RadDragAndDropManager events or the DragDropManager which offers intuitive API similar to Microsoft DragDrop.
I prepared a project for you that uses the RadDragDropManager and demonstrates how to drag a TileViewItem from TileView and "put" in i something like "Recycle Bin". Please let us know if this approach satisfies you. You could also elaborate more on your scenario if it is different from the one that is shown.
the Telerik team
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