@TemptingTime I don't know if this will help your time discrepancy issue but I installed the NTP app and have it checking my local ntp server I have running every 6 hrs (i think) and I have not had a single time where the "time" shows off by any period of time. Depending on your own personal setup you might be able to point the NTP client app to something like your router (most consumer routers have some sort of builtin NTP service).
Here is a link to the information about the NTP Ciient and how to install it.
NTP Client/Local NTP Server Support
I hope this helps you out with this time sync issue.
