Laravel 5 correct permissions, still failing

As per numerous references online, Laravel documentation, and scouring answers here on SO, I am a bit baffled as to why I have set my directory permissions precisely as expected, but still am getting "Permission Denied" fatals.

I have applied the following to the storage & bootstrap/cache directories.

chown -R apache:apache storage bootstrap/cache
chmod -R ug+rwx storage bootstrap/cache

Just shy of being a total security idiot and 777'ing those directories...which I will NOT do. (So, please do not even bother offering that as a suggestion!) I'm at a loss for what could still be wrong here.

Anyone else dealt with this?

via Chebli Mohamed