The traditional split snatch is a great Olympic lift, but you might kill somebody doing it in a normal commercial gym with a barbell. Plus, a regular gym probably doesn't have the right equipment.
No worries, you can still get many of the same benefits by doing this dumbbell variation. This will develop unilateral leg strength and test your athleticism.
Unfortunately, your old "what do ya wanna work today?" spur of the moment type training works a whole lot better than anything the Soviet Ministry Of Sport managed to cook up behind the Iron Curtain back in the 50's and 60's. Charles Staley explains why.