You could try installing r8168 and then reboot.
If that helps, then great.
But if not, you can simply uninstall r8168 and reboot again.
AUR has r8125-dkms, so you could try that too. Likely you need to blacklist r8169 when using this. It requires kernel headers so install it too unless you already have it.
Note that when driver changes, a reboot is always recommended.