And you didn't hear the jaws snap when you pulled it off, you heard the mouth parts tearing. You have to be careful pulling a tick off or the mouth parts will stay in your skin, causing irritation and inflammation.
Edit: I had a scary experience. After rain I was hunting in the woods with bushes a metre tall, shotgut over the head to avoid accidents. Then a snake hiss ahead, tried to turn right, another snake hiss that way, same to left and... same back.
I panicked and got out of the bushes as fast as I could, I was panting. Then I noticed I was covered by hundreds of ticks. I shouted and my father came alarmed. He managed to brush all of them except one that I found at home. It took my mother about ten seconds to take it off with olive oil.
Coating them in oil blocks their oxygen exchange, so they release, but sometimes they vomit back into the bit when they do.