Yes. A rotary cutter can really "bite" you, whether it's coming apart. I found out myself earlier this week! I probably should have gone and had my finger stitched, but I hate spending hour upon hour in the waiting room at the ER. I will simply take very good care of it -- I cut some butterfly pieces from adhesive tape to hold it together. Although, of course, it is sore, it's not painful now!
Again, I'll second the admonitiion -- be very careful with a rotary cutter. The one that bit me was a new one, Fiskars, and it doesn't really have a guard on it as I think it should. I guess we live and learn!
Jeanette