Is meditation about clearing your mind or stopping your thoughts?

No, and this is the myth that stops the most people before they begin. The goal is not to empty your mind or halt your thinking, which is not really possible anyway. Meditation is noticing that your attention has wandered off and bringing it gently back, again and again. Thoughts keep arriving, and that is completely fine. The practice is your relationship to them, not their absence. A busy mind is not a disqualification, it is simply more chances to practise the one move the whole thing is made of.