How to remove any personal information
How to delete your account permanently
- Launch your Skype application
- Click on Profile -> Edit you profile
- Clear out your data (name, picture, etc…)
First, make sure you’ve cancelled any subscriptions or recurring payments, and used up any Skype Credit you have.
Next, contact Skype Customer Service and tell them you’d like to close your account.
It might take up to 30 days for your name to disappear from the directory.
For More Details : https://support.skype.com/en/faq/FA142/can-i-delete-my-skype-account