We used a website widget. On reflection, it would have been nice to have Skype integration, but it wasn't possible at the time. I see what you are referring to. I have no experience with outbound chat. That seems like a good idea. I have found my favourite way to receive cold email is to email back whether we are interested or not and if I am, it is nice if the sender links their calendar in their signature so I can schedule it based on what works for me. I don't think I would take the step to live chat either way though because usually I batch process emails and have other things on my mind in that moment.