Get Current Local Time

Hello, great plugin.

I have noticed the time is way off from when I post. Is there a way to modify this to get the current local time of the user?

Would this be something I can fix from the plugin level or would it require changes on the wordpress level?

Thanks/

https://wordpress.org/plugins/private-messages-for-wordpress/