Line a cookie sheet with parchment and set it on the counter by your microwave oven. Place the chocolate chips in a 1-cup glass bowl. Place the apricots on a plate and the chopped walnuts in a small, shallow bowl. Set the plate and bowl on the counter by the lined cookie sheet. Place the glass bowl with the chocolate chips into the microwave oven and set the controls for 1 minute at high speed. After a minute, carefully (the bowl will be hot) remove the chocolate chips from the microwave oven. They won’t be completely melted but they will have softened. Using a metal spoon, stir the softened chips until they melt and are smooth.
Working quickly, hold one end of an apricot and dip the other end into the melted chocolate, coating it about halfway up on both sides, then dip the chocolate end into the chopped walnuts to cover the chocolate. Set the coated apricot on the lined cookie sheet. Continue to dip and coat the remaining apricots. Serve immediately or place in the refrigerator for up to 3 days.