If you're playing it hands backward then there are keys you will never be able to hit. Many of your trill keys and such are positioned on the left side of the top joint so that learning to play right hand on top would make you never be able to play.
Since clarinet takes both hands, I'm pretty sure they don't make left handed versions the way they do for trumpets (which are rare anyway since people don't make right handed horns even those most horn players are right handed).