From what I can tell there are 4 different types of these guys found at different areas of the map. To tame them you take a torch and stand under it and it will land on your shoulder. Once it is on your shoulder you'll be given task to complete such as kill experience,craft experience,harvest experience. You will be given a timer to complete each task and if you don't the tame effectiveness will decrease and the drake ling will jump off your shoulder. Make sure to have mutton(you can use any meat) or exceptional kibbles in your last hot bar slot as you will need to feed your drake ling after you complete each task. Rinse,wash,repeat and you have a drakeling.