Ehenz,
I'm left handed and have been hunting for 4 seasons (whitetail) with a 7400 carbine in 30-06. No problems with jamming (keep the chamber clean and dry) or cases striking me (they are really hot when ejected!)
By the way, if you have access to a machinist or a mill/good drill press, you can reverse the safety. The spring and detent ball are off center of the trigger housing, simply drill a new hole for the ball/spring and cross pin, the same distance as factory, on the oppisite side of centerline (it will need to be clocked relative to safety cylinder axis). Re-install safety the other way. This is reversable too. I have modified all my 7400/7600 rifles and 870's/11-87 shotguns this way. It works with either the aluminum or the composite trigger housing. I haven't tried it on the new style keyed safety though.
Regards,
kerth