Are you sure these aren't spindle bearing misters? Is the spindle on this machine built in? Meaning the spindle shaft is also the spindle motor shaft? Unless greased for life, the only spindle lube systems I've seen, and granted I certainly haven't seen them all, are mister types, where they combine a small drop of oil that gets blasted in a stream of air and fed to the spindle bearings as a oil mist shot. Usually set off on a timer. The output tubes on a system like this will appear or be empty. I can't see the whole system as your picture is cropped too tight, but it looks like you have a lot of air connected to this thing which leans towards a mister too. Could be wrong. The mister on a Mori Seiki of mine takes a very long time to go through the small reservoir of oil it has. It sends only one small drop at a time through the system every few minutes when the spindle is turning.
Just something to think about. Primary Fluid Power is still around so you might be able to get something from them or dig into your maintenance books.These can be touchy little devices, and you want to be sure they're set correctly as far as pressure etc. Sorry I have no direct knowledge of your Cincinnati.