Cannot modify home dir. [lsof and fuser?]

[root@goood home]# pwd
/home
[root@goood home]# touch test
touch: cannot touch ‘test’: Permission denied
[root@goood home]# df -kh
Filesystem                         Size  Used Avail Use% Mounted on
/dev/mapper/centos_wip--test-root   18G  8.6G  9.0G  49% /
none                                16G     0   16G   0% /dev
tmpfs                              3.2G  329M  2.9G  11% /run
tmpfs                               16G  180K   16G   1% /dev/shm
tmpfs                               16G     0   16G   0% /sys/fs/cgroup
/dev/sda1                          498M  229M  270M  46% /boot
tmpfs                              3.2G     0  3.2G   0% /run/user/0
tmpfs                              3.2G     0  3.2G   0% /run/user/12567
[root@goood home]# cat /etc/fstab
# Updated by Storix System Installation
#
# /etc/fstab
# Created by anaconda on Mon Feb  1 20:25:26 2016
#
# Accessible filesystems, by reference, are maintained under '/dev/disk'
# See man pages fstab(5), findfs(8), mount(8) and/or blkid(8) for more info
#
#/dev/mapper/centos_wip--test-swap swap swap defaults 0 0
/dev/centos_wip-test/root /                       xfs     defaults        0 0
/dev/sda1               /boot                   xfs     defaults        0 0
/dev/centos_wip-test/swap swap                    swap    defaults        0 0
/r/linuxadmin Thread Parent