Brand new Gingher rotaty cutter....way too expensive to have problems right out of the package...skipped everytime I tried to cut...bad blade. It had a chip out of it....very frustrating. Check your blade for nick(s), also check the area between the blade and the handle where it is attached with the screw. Sometimes lint or debris gets in that area. If you take it apart, turn your blade around and put the screw back in and test it to see if it still skips.
Sorry you are having this trouble. We have all been there.
D in TX