the OWA site would allow a draft to be created, typed in, and if you clicked over to another message (i.e. new urgent message) the draft would auto save in the draft folder.  Even if another message wasn't selected, within a few seconds the draft had saved.

Hi

Is this not happening now?

Hi,

Have you tried the workaround in this thread to check this issue?

https://social.technet.microsoft.com/Forums/office/en-US/582373b0-f466-4627-865d-d72798efbd0c/owa-drafts-not-saving?forum=exchangesvrclients

Best Regards.