Is there any kind of alert?

[DarleneCrisp]

To notify a worker that they have a new assignment?

[CraigGillgrass]

Hi Darlene,

This FAQ outlines the notifications available with Workforce:

FAQs for project owners—Workforce for ArcGIS | ArcGIS 

While Workforce does take advantage of Push Notifications, so that a Worker would be notified when the app is closed; we are looking at adding that ability in an upcoming release.

If you're looking for a different alert or behavior, please let me know.

Craig