Autos with Clutchs

i dont know a whole lot about transmissions but would like to and need to know more. Are there such things as autos with a clutch? its sorta like an auto, then you move the stick to the right where there is a plus and a minus sign, and that would be short shifting with a clutch. i saw one, wasnt anyone around to explain though. i couldnt see the clutch because the windows were tinted too much, but is there such a thing like this? or is it just Overdrive or something