When you try to reach into a bag of food, but the edge of your shirt sleeve hits the top of the bag, preventing you from successfully getting into it on the first try. A cuffcatch usually happens two or three times in a row before you finally get your hand into the bag to retrieve your food.
I was driving and trying to get my fries out of the McDonald's bag with my right hand, but I kept getting a cuffcatch repeatedly so I said, "Fuck this!" and tore the bag open wider.