Hey @michael h17​! Daniel from Customer Support Engineering here 🔧 

You can view the number of inbound chats by hour in the conversations overview chart, or a custom report!

In the customer support overview, you can have the charts show conversation x hours as the example below 👇

With custom reporting, you can filter and view your metrics using detailed filters, like so 👇

I hope this helps! 😃

Thanks, this answers my question :-)