Hello,
I’m sorry to hear that you are facing an issue with the browser tab description not updating. This could be due to various reasons. One common cause could be JavaScript-related errors. You can diagnose JavaScript-related errors by following these steps:
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Open the Developer Tools Console Panel in Chrome by navigating to More Tools → Developer Tools from the Chrome menu.

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Click the Console tab to check for any errors.

If you are using a different browser, you can refer to relevant tutorials for diagnosing JavaScript errors.
If the issue persists after checking for JavaScript errors, please let us know, and we will assist you further.
Thank you for reaching out with your concern.
Sources:
Why Your SEO Title, Description & Focus Keyword Aren’t Being Saved » Rank Math
How to Set Product Meta Description Using Rank Math » Rank Math
Social Media Options in Rank Math
Google Shows A Different Meta Title/Description For My Site » Rank Math
General Tab in Meta Box of Rank Math SEO Plugin
Hello,
Thank you for contacting Rank Math support.
It seems there is an existing ticket with a similar issue here: https://support.rankmath.com/ticket/browser-tab-description-not-changing/
We have responded to that ticket and to avoid duplication, we will be closing this ticket so that we can focus on that ticket alone.
Thanks for your understanding, patience, and cooperation.