Drain the maraschino cherries and let them dry on a paper towel. In a mixing bowl combine the softened butter and corn syrup. Whip together with an electric mixer until the mixture becomes light and fluffy.
Add in the amaretto liquor and mix again. Add in two cups of the powdered sugar, mix until combined. Continue to add additional powdered sugar until the dough becomes a soft Play-Doh consistency.
Take a small ball of the dough, a little bit bigger than a cherry, and flatten it into the palm of your hand. Place one of the dry cherries into the middle of the dough, wrap the dough around the cherry making sure it is fully covered and sealed.
Roll the ball of dough with the cherry in it gently between your hands to get a nice round shape, then set the wrapped cherry aside on a piece of parchment paper. Continue to do this until all of the cherries have been wrapped.