DatePicker clipped by the Silverlight control

Question

I'm using a DatePicker position at the right-hand side of the Silverlight control.

When the calendar popup comes up it gets clipped. The Popup documentation states that it should be clever enough not to try to display itself out of the Silverlight control but they are clearly lying.

Is there an easy way to remedy this? I'm quite happy to move the DatePicker on the left-hand side a bit. I tried setting the Popup property's HorizontalOffset in the DatePicker style but it has no effect.