Hi @Kurt Stichelmans ,
But when they try to save the attachment an error appears "cannot save attachment".
Could you save the attachment normally in owa? Did the issue only occurred on any specific users with the specific attachments?
If it could work normally in owa, the issue may be related to your client itself, so what's the version of your Outlook 2013(File> Office account> About Outlook)? Please first ensure that you have updated to the latest version of Outlook client.
Also, based on my research, the temp folder also may cause the for your issue of "cannot save attachment", it's suggested to check this location in your register key and try to clean the folder to check if the issue has any difference.
Computer\HKEY_CURRENT_USER\SOFTWARE\Microsoft\Office\15.0\Outlook\Security
key: OutlookSecureTempFolder (copy the value of this key and open it in your file explorer)
If the issue still exists, in order to avoid the interfernce of Outlook add-ins, it's suggested to restart your Outlook insafe mode to test(Windows + R> Type "Outlook.exe /safe"> enter).
If that's all invalid or you still need further assistance, please feel free to post back.
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