To clone a database view, click on the Options drop-down menu on the far right of your database view, and select the option to Clone the current database view under the View Actions heading. This will copy all of the filters, display options and sorting from your current view for you to modify and save it as a completely new view.
It is also possible to clone a database view when editing the view. When you are in edit mode, simply select the Clone View option in the top right of the edit page.