Here is a very cool new grip for the Olympus XZ1:
New Olympus XZ1 Grip — now shipping!http://www.kleptography.com/rf/Richard Franiec’s Camera Accessories
The camera’s default grip definitely provides adequate handling for me, but I can see this 3rd party grip making it even better. 
I should probably also clarify, my wife has the cool XZ-1 but she is kind enough to let me use it!
One more photo of the grip, from R.F.’s Picasso page:
