The barrel had 4 screws and a small flange "holding" in the additional glass at the end of the cylinder barrel but this glass is also stuck in place.
I tried putting a drop of Acetone down at the threads of the objective where it meets the cylinder but that hasn't helped. Other thing I tried was lightly threading some set screws into the objective's 4 holes around the barrel and using a parallel jeweler's vice to grip on the set screws (not the barrel directly) but there wasn't enough surface area and they slipped.
Last thing I tried was wrapping a piece of silicon rubber around the objective barrel tightly and tightening the jeweler's vice over that but while it gripped well, it eventually started tearing. This thing is on tight!
Seller's photo first, in the others I removed the barrel cover. Second photo shows objective threading into the cylinder, I can't see any solvent or loctite etc.



