I am also a big fan of their beers. I don't know about a clone, but it is definitely a fairly sweet oatmeal stout with chocolate and coffee.
This should get you started (from their website)...
You?ve got to love coffee to truly appreciate this phenomenal brew. Brewed with an abundance of flaked oats, bitter and sweetened imported chocolates, Sumatra and Kona coffee. Breakfast Stout has an intense fresh roasted coffee nose toped with a cinnamon colored frothy head that seems to never fade and makes you wish breakfast could last forever.
Specs:
8.3% ABV
25 IBU?s
Color: Black Unfiltered
Cellar: 1 year
Availability: Quarterly (limited production, pre-order only)
Serving temperature: 42 f
Glassware: Bubble glass