Hi , clockwise is the right direction. Just be careful , because some of the outside stopcocks are so old now that the handles snap when they are turned . the water board will come out and turn it off for you if you get stuck . two months ago one snapped on me when water was off. The water board have a special tool to deal with this. A piece of wood with a v cut out works as well . it goes over the handle and turns it . you can use a cross member piece of wood for leverage.
The other thing is to buy a stopcock tool , for about 20 pounds