When you have created a support chat, there's a settings button under the code snippet - use it to apply additional tweaks. It's also available from the "Inboxes" page - just hit the gear icon right to the chat name.

The first tab is for general settings - the ones you saw when you started configuring the chat widget. The "Collaborators" is for the Agents capable of managing the chat. Auto-assignment is enabled here as well as the maximum number of assigned conversations.

Next tab is for business hours settings - here you can set working hours of the team as well as display them for customers when they open chat window. To do that just tick the "Enable business availability for this inbox" checkbox and get access to the additional settings of this section.

Enabling the "Pre Chat Forms" lets you collect some info about the user before they write to you.

The "Configuration" tab contains the code snipped of your chat to be copied to the website as well as the user identification settings.

The "Widget builder tab" is meant for additional chat customization.