Our site has a design spec whereby multiple products are displayed on a page. Each product includes a "Begin Live Chat" link. Your widget provides for inline HTML code after the site administrator enters a valid and authorized gmail account, i.e., "If you are unable to use widgets, use the following code to paste it as HTML in your theme source code." Allowing inline HTML is very helpful for our use case; well, almost.
The first instance works as expected. All following instances, however, do not respond to the click event. I'm guessing this is because your using #dialog_link ID (and not class) for binding the event? Or are you enforcing a single link per page limit?