I would most definatley not cut the edge off. I'd far rather see you go to a hobby store and buy some 10 minute, 2 part epoxy, any brand will really do. Doesn't have to be 'marine' specific or anything like that. Before you use any epoxy I'd take a piece of clear packing tape or 2" masking tape and run it so it overlaps the base material running a little longer then the length of the gap, then cut it flush with a razor blade. Now take an air gun if you have an air compressor and GENTLY blow the gap out, and blow the edge teeth clean. Don't go ape here or you could delam some of the ski's layers if your forcing a lot of air in there. Then your going to want to mix up some epoxy, probably 1/4 of a little medicine cup. Then take something thin, an old credit card, popsicle stick, something along those lines to get some epoxy inside of the ski. Then spread some epoxy over those edge teeth and beat the edge back in place. Then I'd go and use whatever you can to clamp along the area where the edge pulled out. You don't need to go ham when clamping, like don't clamp that like a pipeline worker, rather clamp it nice and generously. To let the epoxy dry, get it so the ski is laying on its side with the edge repair facing downward somehow so that epoxy doesn't run onto the base (even though the tape is there to protect it from that) and topsheet. Then let it cure for at least 12 hours before you ride it.
Hopefully that all makes sense, and if it doesn't feel free to hit me up with a reply. Good luck with her man!