Hmm. Don't squeeze anything until you understand how the thing works.
An Asian clock like this one uses a slightly odd system to secure the hour hand, which is mechanically locked on its pipe instead of being a friction fit. The hour hand should have two tabs in its hub. These mesh with the two grooves in the end of the hour pipe. It's possible that someone installed the wrong hour hand, or altered the original in an inadvisable manner. If the hour hand locks as it should, then something else is loose farther back. The hour hand can usually be turned independently on many of these along with the snail, which makes for strange motion work.
M Kinsler