Place chocolate pieces in a microwave-safe bowl and melt in the microwave, following package directions. It is not important that the front and back of the cookie be coated. Carefully remove cookie and place on wax paper. Do this for as many cookies as you want to make, or until just less than half of the chocolate is gone, whichever comes first. Don't use up all the chocolate, you have another dipping to do.
Place cookies on wax paper, on plates, and put in the refrigerator.
The chocolate should become solid in 15 to 25 minutes. When the chocolate has cooled on one end of the cookies, you're ready for second dipping. Take the cookies out of the refrigerator. Separate the cookies from the wax paper. You may want to trim cookies, with excess drippings.