TL;DR: Remove SSLv3 - the impact is likely very small
We’ve now removed SSLv3 from about 1000 servers in our environment. So far, we’ve only had one issue - a script used to call an API started to fail. The issue was the ruby rest client > 1.7.0. (Yes, that’s greater-than.)
Removing from Apache
SSLv3 is easy to remove in Apache. You probably want this in your ssl.conf (or whatever the equivalent is for your distro):