Skype , there is no option to delete the Skype history like chat history, call history and so on. For the lacking of this option on Skype Mobile version users loose their privacy. In my case it happened the same.
So, after researching a lot i find out some ways to delete Skype history on Android
Method 1 : How to Delete Call and Chat History in Skype for Android
Run Skype and tap on the ‘Recent’ icon on the main screen. It will shows you a list of your recent calls and IMs history along with details about the call and an excerpt of the text message.
To delete a call or chat history, just press on the contacts name in the history window. And go to option
Choose ‘Close ’ in the menu to delete the conversation. You need to delete each individual chat record one by one.
Method 2 : How to Delete Call and Chat History in Skype for Android
You can delete Skype History by deleting the application data to do so just go to Settings > Applications Manager Skype > Clear data. After deleting Skype data you need to sign to your Skype account providing your username and password.
So, guys I think there have no other solution to delete Skype history other than the two ways I showed above.