tell your student to fight left handed also
although some people advocate training one strong side, there is a lot to be gained from training both sides equally. although i don't fight lefty, i put enough time training lefty that i don't feel uncomfortable should i have to fight as a lefty. i think there is a thread somewhere here about bilateralism, and it's an attribute that is well worth putting the time into. as far as other skills, train footwork.
of course, although a person may have one stick, they also have their off hand which may be hitting and grabbing. sometimes it's useful to view all opponents as having two weapons and not just one; all fights are double stick fights (maybe?) OR becoming a double stick fighter when you fight one stick will give you an advantage. i'm not sure, i'm tired.
but back to the original point, fight left handed. get the experience of fighting left against right, and that may inform your thinking also. or if not, if you start to get beat, you can always utter, the immortal words "i am not left handed" before switching hands and drubbing your opponent.