Possible Clues:

• Lost in your throat. Have it out
• It sticks in your throat
• Throat gland
• Lost in building with mouthy type
• One down in the mouth
• Pain in the neck, at times
• One of two at the back of the mouth
• One of two pieces of tissue in the throat
• For that toil about the Poles you've got it in the neck
• Something spoken of at oral exams