There is a new CCleaner version v6.23 just released a couple of hours ago, I'd update to that and try again.
From the release notes:
Quote<div class="ipsQuote_contents ipsClearfix" data-gramm="false"> <p> <span>We've resolved an issue causing Health Check to get stuck for some users.</span> </p> </div>
If you are still having issues after updating CCleaner then which apps is it saying that you have updates available for?
(Click on where it says the updates are available, or go to Tools>software Updater to see what that lists).