Are you logged in as root, or are you running as another user, and then launching Konquerer under the root user? There are a lot of people complaining about that on a search of google. The suggested answer I dug up was to run:
xauth merge /home/seanfitz/.Xauthority
and then run Konqueror. You can set that up to run automatically each time you su or whatever. Meanwhile, I'll keep looking for a proper fix. Possibly a problem with the $DISPLAY value or something, from what I'm reading...