I'll stop here to say that this is not something the average person should do themselves. The general advice is to leave repair work to Zeiss. Get in touch with the Zeiss repair experts or someone with experience working on high end binoculars and have them do this. In theory at least Zeiss offers to take care of these forever. I have not (did not) attempt to contact them.
That said, for the handful of people with experienc and ability doing this kind of work, here we go.
It was not obvious to me how to take these apart. Clearly I needed to get at whatever was under the cap with the red T*P markings. I tried various things, being extremely cautious, but got nowhere.
The following video showed me how the game was to be played.
The guy in the above video is clearly not working on a pair of Zeiss binoculars. It turns out though that the focus mechanism is almost entirely the same.The eyepieces just lift straight up, but you will need to rotate the silver colored "rod" with two flat sides to the right orientation. This is already set up for you with the first eyepiece, but the lower one requires you to rotate the rod. Note that the flats need to be parallel to the line from the rod to the eyepiece.
Now you are at the heart of the matter. I got some Xylene and using paper towels and Q-tips, I cleaned out all of the old grease. I cleaned up rather quickly using Xylene. Do this with the binoculars on their sides and pay very very special care to not get any grease or solvent into the eyepiece holes and thus on the prisms!! Keep using new Q-tips and towels until the come up clean and stop removing grease.
Now new grease. Don't be stupid and use too much. I have some fancy grease for focus helicoids on camera lenses, so I used that. My second choice would have been Tri-flow synthetic grease as is recommended for sewing machines. I'm not sure what the third choice might be, but you could contemplate using vaseline or even some quality white lithium grease.
The only potentially tricky part is where to set the two screws when you attach the eyepieces. What I did was to screw to top screw (that actually engages the eyepieces) all the way in. Then the main screw I put in all the way, then turned 2.5 turns out. Then on go the eyepieces. Some rotation of the rod will be needed to line up the flat sides of the rod.
Lastly the "bolt" goes in using the spanner wrench. I made a trial assembly, checked the focus range, then removed the bolt and applied some blue threadlocker (Locktite 242). This was not present in the original assembly, but I feel it is wise and harmless. Do not use red (permanent) threadlocker.
I will use them for a few days before replacing the T*P cap. Note that there is a locator pin on this cap.
Tom's Bird Info / tom@mmto.org