Very interesting! A comment under the video from whoever is running the channel says the 3D movement on the broadcast titles was done in post-production. I wonder if they ultimately decided they didn't want the hand moving in the final titles, and at this point the post-production hadn't been done?
Going by the shadow on the clock face as the hand moves, it looks like they filmed at least two versions (with and without hands) instead of compositing them in post (actually four, as there's the day/evening versions). Perhaps they decided late in the day the camera needed more movement but couldn't go back and re-film, so did it digitally.
It looks like they created the effect by mapping the video to a plane and 'flying/panning' over it in 3d, or something along those lines. But as the hands are spaced away from the clock face, the effect might not have looked as convincing; if the virtual camera moves too much or the original surface has a lot of depth, this type of illusion doesn't always work. So perhaps that's why they used the version without hands for most of the angles. Just a guess, though - the two things could be unrelated.
A lot of work was put into that clock model - I wonder what became of it.