I noticed that if someone has a skype account logged on on two computers at the same time, the chat is cloned in both machines. So, someone else is in the other computer, he/she will see all the chat conversation, what maybe be a big trouble for the user, depending on what issue is the chat. So, I think this is really a security bug. Even if someone is in a chat in one computer, the chat would never be repeated on another computer.

It is not a bug, it is a feature. This way you can share (and synchronize) chats on diffetrent computers.

But I agree that it can be seen as a security issue. There is a chat about this already on the Forum.

Ike