Just tap on the contextual menu and select "Remove from History." Checkmark the items you want to delete and tap "delete" to delete the selected.
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Hi, I tried that option but it remove contacts selected but not text or chat. I logged into my Skype id from laptop and removed history but still I can the chat history in my Samsung galaxy tablet.
On the recent contact list, highlight the contact and an option opens to delete recent contact. Tap again and the conversation deletes. I haven't found out how to do all at once but it's better than nothing!