Melt the butter in a small skillet, and add the garlic and rosemary. Stir to mix well. Turn off the heat and set it aside to stay warm in the pan.
In a large bowl, stir together the self-rising flour and salt. Pour in the buttermilk, stirring as you go until everything is incorporated. Note that the batter will be very sticky!
Pour the butter into a 3-quart baking dish, and the scrape the biscuit dough right on top. Gently push the dough out to the edges. You'll see the butter coming up around the outside.
Flour the blade of a bench scraper or spatula and score two lines evenly spaced the long way (cutting the dough into thirds) and two cuts up the short way. You'll wind up with 9 biscuits.
Bake the biscuits until the top is very golden, 28 to 30 minutes. Let the dish sit for 5 minutes, and then sprinkle on the chives. Serve warm.