I own and shoot both right and left hand rifles
. I shoot left-handed. The only problem with these, is if the stock has a comb that is for right hand shooting. I have even shot those before with no problem, though. Other than that, I have never had an issue with it.
My ex-bil shoots left--handed, but won't buy a left-hand rifle. He said he does this because he likes to trade/sell guns and a right hand gun is much easier to sell. I had never thought about that, but he is pretty much right.