Back up all data. Quit System Preferences if it's running.
Triple-click anywhere in the line below on this page to select it, then copy the text to the Clipboard by pressing the key combination command-C:
~/Library/Preferences/ByHost
In the Finder, select
Go ▹ Go to Folder...
from the menu bar. Paste into the box that opens (command-V), then press return. A folder should open. If it does, look for a file with a long name that begins "com.apple.screensaver". There may be several such files. Move them all to the Trash.
Log out or restart the computer. Test. If the problem is resolved, empty the Trash and recreate your settings in the Screen Saver tab.