Is this possible using settings available in the UI or does this require a custom component to be created?
I imagine many have this issue, whereby unless the service agent spends all their time in the omni channel widget in the bottom corner of the screen, they end up missing live chat requests as there's no better way to get the agent's attention.
Best Answer
There is a package from Salesforce Labs AppExchange package called Conversations Notifications . This allows customizable notifications for Chat & Messaging customers using the Lightning Service Console.
This Conversations Notifications package offers the ability for:
See a demo video for this functionality here. Installation manual here
Note: As this is a Salesforce Labs package, it not officially supported. This is available in Lightning only.
I have tested this functionality in my org and see a desktop notification. See inline image