If you have taken your profile picture using webcam on Skype, then it’s very likely that this picture is saved in Skype’s Pictures folder.
Go to Windows Start and in the Search/Run box type %appdata%\skype\pictures and then press Enter or OK button. Look for your profile picture in this folder.
You can also download your profile picture to your computer using one of the methods mentioned here:
However, there is also an easier way to download profile picture of any Skype user that has set visibility of their profile picture to Public.
Insert this link into your browser’s address field:
Replace “skypename” with the exact Skype User name.
This should show the profile picture in your browser, and from there you can save it to your computer.