Melt chocolate chips in a double boiler over barely simmering water, whisking until completely melted. Melt butterscotch morsels in a large glass bowl in the microwave on 50 percent power, whisking after 1 minute, and then returning to microwave for 1 more minute.
With a small ice cream scoop, scoop as many ice cream balls as desired, place them on a sheet tray, and put tray in the freezer for about 30 minutes or until re-frozen. Drizzle melted butterscotch and chocolate over ice cream scoops. Return to freezer until ready to serve.