Hi ManKeer,
No, it's up to your Metadata (notifyUser method) to detect the case.
In order to kill the old client session you have various options depending on the Lightstreamer version and adapter type in use.
You can refer to this topic for further details:
https://forums.lightstreamer.com/showthread.php?8785-Forcing-session-termination
Please let us know if you need any further clarifications.
Regards,
Giuseppe