The YouTube user programmer42 posted this item recently, showing a dog and deer chasing each other, while eyeing one another through a chain-linked fence. The stare-down alone makes it worth the view.
A note of caution here: this is the only video uploaded to the user's account, and the account has no user details. For all we know, this could be faked. But it looks like the critters are having fun nonetheless, staged scene or not.