Is there no response when you click on the statues repeatedly, or can you not highlight them again to click?
Try deleting all of the files in the '
..\Divine Divinity\Run\Dynamic' folder. If you have the
patch installed (or you bought a re-release version that was already updated to 1.0034A, as shown in the bottom right corner of the main menu) and reset the configuration files at least once after a crash when prompted, the dynamic folder should already have been cleared.
This folder is used as a cache for the game. Files are created / copied there from the save game folder when you load, and written / copied from that folder when you save a game. The files will be re-created as required the next time you start Divinity. If there was a corrupt file in that folder, deleting the files should fix the problem.
If you start a new game and go directly to the statues (skipping past the cutscenes as much as possible), can you still only move them once?
I vaguely recall someone else reporting this same problem, but can not find the topic (might have been in the old forum), and don't recall the result.....
There is a file verification procedure in the topic below, which could determine if the problem is due to a corrupt file.
Troubleshooting Tips (& manual install procedure) 
