I have the same issue when starting mongodb on docker:

    docker run --rm -p 27017:27017 mongo

I get this

    chown: changing ownership of '/proc/1/fd/1': Permission denied                                           
    chown: changing ownership of '/proc/1/fd/2': Permission denied

My policy RPM is selinux-policy-3.13.1-283.26.fc27.noarch instead.

Not sure if this could be helpful, but here's a `ls -lZ /proc/1/fd`:

lrwx------. 1 root root system_u:system_r:init_t:s0 64 Mar 12 10:46 0 -> /dev/null                       
lrwx------. 1 root root system_u:system_r:init_t:s0 64 Mar 12 10:46 1 -> /dev/null

*** Bug 1488511 has been marked as a duplicate of this bug. ***

What AVC's are you seeing?  And is this causing any issues other then the log messages?

ausearch -m avc -ts recent

In my case, I am not experiencing any issue and mongodb appears to run fine, but I am using very limited functionalities right now.

After running mongo in a new container `ausearch -m avc -ts recent` prints

----
time->Mon Mar 12 15:24:11 2018
type=AVC msg=audit(1520864651.203:1827): avc:  denied  { setattr } for  pid=16375 comm="chown" name="" dev="pipefs" ino=622633 scontext=system_u:system_r:spc_t:s0 tcontext=system_u:system_r:container_runtime_t:s0 tclass=fifo_file permissive=0
----
time->Mon Mar 12 15:24:11 2018
type=AVC msg=audit(1520864651.203:1826): avc:  denied  { setattr } for  pid=16375 comm="chown" name="" dev="pipefs" ino=622632 scontext=system_u:system_r:spc_t:s0 tcontext=system_u:system_r:container_runtime_t:s0 tclass=fifo_file permissive=0

Fixed in container-selinux-2.54

container-selinux-2.55-1.fc27 has been submitted as an update to Fedora 27. https://bodhi.fedoraproject.org/updates/FEDORA-2018-29bc3c6098

container-selinux-2.55-1.fc28 has been submitted as an update to Fedora 28. https://bodhi.fedoraproject.org/updates/FEDORA-2018-cdf686cb83

container-selinux-2.55-1.fc27 has been pushed to the Fedora 27 testing repository. If problems still persist, please make note of it in this bug report.
See https://fedoraproject.org/wiki/QA:Updates_Testing for
instructions on how to install test updates.
You can provide feedback for this update here: https://bodhi.fedoraproject.org/updates/FEDORA-2018-29bc3c6098

container-selinux-2.55-1.fc28 has been pushed to the Fedora 28 testing repository. If problems still persist, please make note of it in this bug report.
See https://fedoraproject.org/wiki/QA:Updates_Testing for
instructions on how to install test updates.
You can provide feedback for this update here: https://bodhi.fedoraproject.org/updates/FEDORA-2018-cdf686cb83

container-selinux-2.55-1.fc27 has been pushed to the Fedora 27 stable repository. If problems still persist, please make note of it in this bug report.

I am using container-selinux-2.55-1.fc27, but I am still experiencing the issue.

Besides updating, are there any additional steps to be performed?

When running MongoDB, I get the following warning (apparently, it runs fine beside this)

    chown: changing ownership of '/proc/1/fd/1': Permission denied                                           
    chown: changing ownership of '/proc/1/fd/2': Permission denied


And I get the following selinux message:

SELinux is preventing chown from setattr access on the fifo_file .

*****  Plugin catchall (100. confidence) suggests   **************************

If you believe that chown should be allowed setattr access on the  fifo_file by default.
Then you should report this as a bug.
You can generate a local policy module to allow this access.
Do
allow this access for now by executing:
# ausearch -c 'chown' --raw | audit2allow -M my-chown
# semodule -X 300 -i my-chown.pp

Additional Information:
Source Context                system_u:system_r:spc_t:s0
Target Context                system_u:system_r:container_runtime_t:s0
Target Objects                 [ fifo_file ]
Source                        chown
Source Path                   chown
Port                          <Unknown>
Host                          sanctuary
Source RPM Packages           
Target RPM Packages           
Policy RPM                    selinux-policy-3.13.1-283.29.fc27.noarch
Selinux Enabled               True
Policy Type                   targeted
Enforcing Mode                Enforcing
Host Name                     sanctuary
Platform                      Linux sanctuary 4.15.12-301.fc27.x86_64 #1 SMP Thu
                              Mar 22 19:25:27 UTC 2018 x86_64 x86_64
Alert Count                   14
First Seen                    2018-03-26 15:30:16 CEST
Last Seen                     2018-03-28 11:19:26 CEST
Local ID                      96607e77-d9ea-4d52-84f7-50a5bf684c41

Raw Audit Messages
type=AVC msg=audit(1522228766.581:351): avc:  denied  { setattr } for  pid=15047 comm="chown" name="" dev="pipefs" ino=160788 scontext=system_u:system_r:spc_t:s0 tcontext=system_u:system_r:container_runtime_t:s0 tclass=fifo_file permissive=0


Hash: chown,spc_t,container_runtime_t,fifo_file,setattr



# ausearch -m avc -ts recent
----
time->Wed Mar 28 11:17:31 2018
type=AVC msg=audit(1522228651.112:320): avc:  denied  { setattr } for  pid=14768 comm="chown" name="" dev="pipefs" ino=156705 scontext=system_u:system_r:spc_t:s0 tcontext=system_u:system_r:container_runtime_t:s0 tclass=fifo_file permissive=0
----
time->Wed Mar 28 11:17:31 2018
type=AVC msg=audit(1522228651.113:321): avc:  denied  { setattr } for  pid=14768 comm="chown" name="" dev="pipefs" ino=156706 scontext=system_u:system_r:spc_t:s0 tcontext=system_u:system_r:container_runtime_t:s0 tclass=fifo_file permissive=0
----

Sorry! I was mistaken: I was using docker-engine-selinux, not container-selinux.

I removed the former and replaced it with the latter and issue is gone. Thanks and sorry again.

container-selinux-2.55-1.fc28 has been pushed to the Fedora 28 stable repository. If problems still persist, please make note of it in this bug report.