To disable Cookies in Skype
- Click in the Skype menu bar, click "actions".
- Then select in the new menu "options".
- In the left-hand display, click on the tab "privacy".
- Remove the check mark for "Cookies in the Skype Browser to accept". Your existing Cookies you can also delete.
- Confirm the Change with "Save".

Skype: disable Cookies
For even more privacy you can also Skype your Chat logs are never saved.
