If an agent forgot to sign out of their account, will the operating hours override an agent being online? Will scheduling operating hours force my agent to go offline?
Yes, even if an agent is signed in to their Chat account after your scheduled operating hours, the agent's status is changed to Invisible. The status, Invisible, for all signed-in agents will restrict new users from requesting live chats.
For more information, see the articles: Creating a schedule with operating hours (Professional and Enterprise) and What happens when the operating hours end and I still have an active chat?