Unconnected
If you mean make another instance (with same name, variables, etc) then, you can hold down the CTRL key on the keyboard, and then click on a sprite/object and hold the mouse button down and drag an new instance of the object to a new location.
Another way is to right-click on an object, choose copy, then paste a new instance.
Right-clicking and choosing Clone object makes a separate object (new name, but same variables, animations, etc - as you know)
If you mean a new object (with a new name) that looks the same, but not with the instance variables and animations, then you have to start from scratch.