Hello,
The kernel's devtmpfs creates device nodes with a default name, owner and permissions. It also sends out a uevent when the node is created, which allows a uevent handler to change the name, ownership or permissions, or do anything else it wants. Buildroot offers the choice between three uevent handlers: mdev, which is part of busybox, eudev which is a standalone udev fork, and udev which is part of the systemd init system. These handlers are configured with rules files that specify what to do with a specific type of device when it appears. For your specific need, mdev is the best choice since it is very simple, easy to understand, doesn't take up much space, and the default configuration is sufficient. In Buildroot's menuconfig, go to System configuration → /dev management and select Dynamic using mdev. Then rebuild your root filesystem. It will now be populated with the mdev binary (part of busybox), an init script to start it, and a default rules file in /etc/mdev.conf. This default file contains:
tty[0-9]* root:tty 660
This means that the tty devices will get their group changed to tty and their permissions to group read and write. So you can just make sure that the logged in user belongs to the tty group. If the default mdev.conf file is not sufficient for you (for instance, if you really need the group to be dialout), then you can create a filesystem overlay, copy package/busybox/mdev.conf to /etc/mdev.conf and modify it as needed. Full documentation on the mdev.conf format can be found in the busybox sources.
Regards