Is there a way to the comment system to operate as a live chat/live discussion anywhere on the website?
wpDiscuz has an option to enable comments live update. This is the core live update option to keep the comment list in real-time updating. wpDiscuz live update is very light and doesn’t overload your server. However, we recommend monitoring your server resources if you’re on a shared hosting plan. There are some very weak hosting plans which may not be able to perform very frequently live update requests. If you found some issue you can set the option below 30 seconds or more.
More info here: https://wpdiscuz.com/docs/wpdiscuz-7/plugin-settings/live-commenting-and-notifications/
Also currently, we have plugin customization and custom addon development services at the gVectors Team. They can assess the work and create it for you. Just contact us via sales[at]gvectors.com email address and send a list of requirements you'd like to have.