If you look under Config/System Hotkeys you will see the box for setting the keys to jog the axis.
You can set whatever keys you like to jog the axis.
I assume the Griffin puts the equivelant of keyboard strokes into the computer, so select which jog you want to configure, e.g. X++ and then press a key, or do what you want to do with the Griffin and see if it registers.
If the Griffin is a rotary switch - i.e. you turn it, I cannot see how you can replace a keystroke with it. In Mach3, if you press a "jog" key, the jogg continues until you release it. It is not a mouse like function with continuous movement.