I frequently see three phase hoists on CL in Atlanta. They are always for sale for a reason, no way to operate them. If you are in a fixed enviroment (bridge crane or jib crane) and have other three phase equipment, than supplying power to one is a simple task. But if it is the only three phase equipment you have and plan to move it around (portable gantry crane, outdoors on a oak tree limb, or whatever) then three phase is relatively impracticable.
As OldCarGuy noted, and if you've ever looked at one, these hoists have custom designed, integrated motors with multi-speed controls in many cases, and powering them with anything other than what they were designed to be powered on (real power company three phase or RPC generated power) is not possible.
Charles