No, there's no functionality to interrupt people working on something else in Jira.
You can report on it (a simple filter for issues where things go over is the base of that), displaying it in reports and on dashboards, and you can subscribe people to a regular email list of everything that has gone over.
Hi, Jira users! Do you use Jira alongside Microsoft Teams? We want to hear how you’ve used the power of Jira Cloud and Microsoft Teams (via the Jira Cloud for Microsoft Teams app) to achieve a team...
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