A HOOLIHAN (correct spelling) is a particular backhand looping motion which is a special way to use the lariat to catch horses.If there are any Quarter Horse shows in your area, go to one, and there will be an award given for the best hoolihan to rope a set number of horses in the least amount of time. That's the best way to see what it looks like. Note that it is not the same as calf roping at a rodeo.
Lyle