Thanks for the suggestion! Unfortunately, same problem after upgrading:
host:~# apk info lxc
lxc-4.0.2-r0 description:
Userspace interface for the Linux kernel containment features
lxc-4.0.2-r0 webpage:
https://linuxcontainers.org/lxc/
lxc-4.0.2-r0 installed size:
1347584
host:~# lsmod | grep tun
tun 40960 2
host:~# ls -al /dev/net/tun
crw-rw-rw- 1 root root 10, 200 Jul 5 11:07 /dev/net/tun
host:~# lxc-start -n ovpn1
host:~# lxc-attach -n ovpn1
ovpn1:~# ls -l /dev/net
ls: /dev/net: No such file or directory
ovpn1:~# mkdir /dev/net
ovpn1:~# mknod /dev/net/tun c 10 200
mknod: /dev/net/tun: Operation not permitted
ovpn1:~# cat /proc/self/mountinfo
155 51 0:36 /ovpn1/rootfs / rw,noatime - btrfs /dev/mapper/crypt-root rw,compress=lzo,space_cache,autodefrag,subvolid=267,subvol=/ovpn1/rootfs
156 155 0:51 / /dev rw,relatime - tmpfs none rw,size=492k,mode=755,uid=100000,gid=100000
157 155 0:50 / /proc rw,nosuid,nodev,noexec,relatime - proc proc rw
176 177 0:50 /sys/net /proc/sys/net rw,nosuid,nodev,noexec,relatime - proc proc rw
177 157 0:50 /sys /proc/sys ro,nosuid,nodev,noexec,relatime - proc proc rw
178 157 0:50 /sysrq-trigger /proc/sysrq-trigger ro,nosuid,nodev,noexec,relatime - proc proc rw
179 155 0:52 / /sys rw,relatime - sysfs sysfs rw
180 156 0:50 / /dev/.lxc/proc rw,relatime - proc proc rw
181 156 0:52 / /dev/.lxc/sys rw,relatime - sysfs sys rw
182 156 0:6 /full /dev/full rw,nosuid,relatime - devtmpfs devtmpfs rw,size=2048k,nr_inodes=189453,mode=755
183 156 0:6 /null /dev/null rw,nosuid,relatime - devtmpfs devtmpfs rw,size=2048k,nr_inodes=189453,mode=755
184 156 0:6 /random /dev/random rw,nosuid,relatime - devtmpfs devtmpfs rw,size=2048k,nr_inodes=189453,mode=755
185 156 0:6 /tty /dev/tty rw,nosuid,relatime - devtmpfs devtmpfs rw,size=2048k,nr_inodes=189453,mode=755
186 156 0:6 /urandom /dev/urandom rw,nosuid,relatime - devtmpfs devtmpfs rw,size=2048k,nr_inodes=189453,mode=755
187 156 0:6 /zero /dev/zero rw,nosuid,relatime - devtmpfs devtmpfs rw,size=2048k,nr_inodes=189453,mode=755
188 156 0:18 /1 /dev/console rw,nosuid,noexec,relatime - devpts devpts rw,gid=5,mode=620,ptmxmode=000
52 177 0:51 /.lxc-boot-id /proc/sys/kernel/random/boot_id ro,nosuid,nodev,noexec,relatime - tmpfs none rw,size=492k,mode=755,uid=100000,gid=100000
53 156 0:53 / /dev/pts rw,nosuid,noexec,relatime - devpts devpts rw,gid=100005,mode=620,ptmxmode=666,max=1024
54 156 0:53 /ptmx /dev/ptmx rw,nosuid,noexec,relatime - devpts devpts rw,gid=100005,mode=620,ptmxmode=666,max=1024
55 156 0:53 /0 /dev/tty1 rw,nosuid,noexec,relatime - devpts devpts rw,gid=100005,mode=620,ptmxmode=666,max=1024
56 156 0:53 /1 /dev/tty2 rw,nosuid,noexec,relatime - devpts devpts rw,gid=100005,mode=620,ptmxmode=666,max=1024
57 156 0:53 /2 /dev/tty3 rw,nosuid,noexec,relatime - devpts devpts rw,gid=100005,mode=620,ptmxmode=666,max=1024
58 156 0:53 /3 /dev/tty4 rw,nosuid,noexec,relatime - devpts devpts rw,gid=100005,mode=620,ptmxmode=666,max=1024
91 155 0:62 / /run rw,nodev,relatime - tmpfs tmpfs rw,size=153232k,mode=755,uid=100000,gid=100000