Hard to find photos from all angles, but it looks like the round bits at the ends have leatherette on them. It's possible that there are screw heads under that. The four screws around the eyepiece might release something. The round post near the distance dial is fairly unlikely to be a fixing since it appears to be the index mark for the dial.
If the four screw heads don't look like they're for alignment, such as normal panhead types bearing onto the outside of the housing, I'd try loosening them a little - don't remove - to see if anything comes loose. If everything still feels solid, tighten them back up. Slackening each half a turn or so should be enough to see if something acquires some movement that isn't there when they're tight.
The round bit in the middle of the dial might unscrew - if it isn't a button or the like, it doesn't seem to serve any purpose. When the dial is rotated, does the round bit in the middle turn with it? What's happening with the housing under the dial? A round hole that the dial goes into, or is there a slot from the axis of the dial to the outer end?
If the ends do have leatherette on them, you could try prodding with a pin to see if I can find a slot in a screw head. It should feel firm almost immediately in places where the pin just hits the end cap or the head of the screw, and go in noticeably further when it hits a slot. Alternatively, if the leatherette looks like it will come off on once piece (or you don't care if survives), get a scalpel or the like under it and ease it away.
What's wrong with the rangefinder?