This is a fairly normal experience with taking the coconut oil “straight”. I always assumed it was due to the fact that this oil is so strong that it possibly irritates the throat a little when coming in direct contact with the tissues. I used to drink a bit of very warm water when I took it in order to wash it down quickly thus, not allowing it to ‘stick’ to the throat tissue.
Have a cup of very warm water sitting by when you take a teaspoonful of the coconut oil. Follow each spoon of oil immediately with a few swallows of the water and see if this helps the situation.