Not for using the clock no, charging people for reading time would be ridiculous :) The clock is only the first step to simplify time zone thinking. If people like to use this, I do have plenty of ideas on what to build on top of this.
Agree, what about the other tools on the website, that is using the new time format you've created, are they within the patent too? It's really unclear what the patent is covering, and unfortunately your comment didn't help.