I am afraid we do not have a ready-to-use example related to session timeout measurement and alerting, as this part of the use case is not related to the Kendo UI library. However, we will readily assist with information about the Kendo UI API and features.
In case you wish to benefit from consulting and development assistance in this case, I can recommend our Professional Services. They are specialised in tailor-made solutions and custom implementations that go beyond our public API and built-in product functionality. Let me know if you are interested and I will arrange someone to get in touch with you to discuss specifics.