Do you really have Content-ID? That's the only way I know of to claim a video and get money from it.
Assuming you do, if he disputes it, then you'll have a chance to reinstate the claim. But then he can appeal it. If he does that, you have the chance of having the video taken down or setting it to where it will get taken down after 7 days if he doesn't cancel the appeal. If he cancels it, he can't appeal again. If it gets taken down, you won't be able to make money from it in the future, and he can submit a counter-notification. If that happens, the only way to keep the video down would be to get a court order for YouTube to keep it down.