a british term for nose, usually said when someone has a huge nose. or it can mean getting hit in a semi painful way- like bonked. or it can mean to fall asleep
"I… hit him repeatedly on the conk. My reason for this was that his conk was covered with carbuncles, and I thought I should vex him by taking such liberties with his conk—which in fact I did."
-Quoted from Thomas de Quincey, "On Murder Considered as One of the Fine Arts," first published 1827.