In Zendesk Support, we have fast moving agents working all channels. For Talk agents, moving from one ticket, saving, and then wanting to be "available" is often blocked by "saving" notifications. And, with our 15sec round robin this can result in "missed" calls for their performance review.
For multi-channel companies there is a lot going on in the upper-right corner of the UI. It seems like there is an opportunity to let customers decide where status updates are announced or for Zendesk to notify us in a less active area of the screen.