If you're catching the Aircoach from the Dublin airport to get to Cork City, select Dublin Airport Terminal 2 as the origin location and Cork Lower Glanmire Road as the destination.

If you want to get to Clonakilty using public transportation, the easiest option is to get the Aircoach from the airport to cork city. Once you get to cork city, you'll catch another bus from cork city to Clonakilty: https://www.buseireann.ie/