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Accepted Solutionby Claudius
Let me summarize the discussion in this topic so we can close this topic:
To delete the local (!) chat history in a conversation do the following:
- Open the "Recent" tab (iPhone & iPod) / sidebar (iPad).
- Tap the "Edit" button
- You will see a red remove icon next to each conversation. Tap it to remove.
NB: This will only delete the local chat history. If you log in to Skype from a different device the chat content will be synced there. This is how Skype chat sync is designed currently.