killzone, i am left eye dominant and shoot a gun left handed.When i started shooting archery years ago I used a right handed bow and still do to this day. I have no troubles using either.
You will have to program yourself to close your dominant eye when you need to shoot with your non dominant. Remember, this will be more difficult under high pressure situations i.e buck fever. Buut it can be done.
I would say go for it. You can never be too versatile. It may come in handy someday. Just remember to practice, practive, practice...
If i ever run across a cheap lefty compund I will do the same thing