Oh no! I could have prevented this, I'm now sorry for not adding this information to the thread. Some time after this morning's posting activity, I went to put mine back together after the photo. I realized at that point that it was better to "slide" the LCD glass part in under the tabs, then "snap" the rest of the stuff (lens, gasket, polarizer).
Well here's a somewhat amusing story that you may yet come to appreciate. I did not mention that this last IBM-branded unit that I fixed had a bad LCD. Back polarizer is shot, plus there is the "bleeding" effect inside the glass sandwich. So I monitored eBay for months looking for a wrecked 8060A with a decent-looking LCD. Finally scored one for $20, shipped. When I got it, it turned out to work perfectly, and is a much newer unit than the other couple that I had. The case even cleaned up like-new. So instead of the parts mule I needed, I ended up with another working meter that I did not want to part out. So instead I robbed an older unit with an uglier exterior of it's LCD and finished restoring the IBM unit.
This has happened to me for other things, I look for a parts unit and end up with an easier repair than the one I was working on. So I hope you can find an LCD...
Edit: accidentally a word
Edit #2: The refurb job I mentioned above is now
documented in a blog post.