I used the Ovals Collection Framelits available in the Spring / Summer Catalogue. I add a piece of magnetic sheet to the pack which helps hold the dies in place.
Stamp the image to one side of a piece of card stock. You need to use an image which is relatively easy to cut round (unless you like fiddly cutting!)
Select the size of Framelit you wish to use and place it over the image.
Using a pencil, draw round the inside of the Framelit up to the image.
Carefully cut round the image inside the pencil line using Paper Snips. You will need to cut along the image past the pencil line so that when you slip the die UNDER the cut out image you can line up the die with the pencil line.
Run this through the Big Shot using the normal sandwich for Framelits (you can use a sticky note to keep the die in place).
Remove the framelit and you are left with a partial cut out.
Here is another card I made using the same technique and a different stamp set - Henry Says. The elephant's truck is perfect for cutting round. I hope you will agree he is rather cute!
Hopefully this tutorial makes sense - if you have any questions please leave me a comment.