That is a bit odd. Could this be from a ST Westminster? It looks like the winding arbor turns a click that in turn winds the spring. Surely, someone has seen this before. Once you disassemble it, post a photo for everyone to see.
This is not uncommon in chiming clocks. I think the purpose is to locate the third winding arbor in a position that is inside the dial opening and optically pleasing (centered between the two other winding arbors with a radius that is more or less concentric with the chapter ring).
A Gustav Becker mantel clock I recently had worked on had the same arrangement for all three winding arbors. It does seem like the displacement of the winding arbors was done to pull them in so they were relatively well placed on the dial. Also, could it be the barrels were wider than normal and this was a way of using big barrels on a smaller plate?
This is a German movement, but does not have a trademark. I agree as it seems that the only reason was to place the winding arbors inside the face. The gears on the front plate do not provide any mechanical advantage (i.e. gearing leverage). I have seen this on several German clocks. This arrangement does sometimes tend to make winding seem harder. Thanks for the comments.
I have repaired a few of this type of movement, 3 of which were GB's on all 3 there was an issue with the secondary wheel. One had worn the pivot hole so much the spring let go. The other two had teeth missing that had sheared off when the spring let go, in the GB's they are made of steel.
I have to say though, the GB's were a nice looking movement and I have thought they would make a nice talking piece if set in a glass case as the set up of the racks is very nice to watch when in motion.