Not sure what you mean by autosave. (1) Check out the Backup project before saving option (Tools > Options > Open/Close tab). (2) The following script will save to Backup.opj every 10 minutes...
By autosave she means an automatic timed backup, like the script you suggested, but enabled automatically whenever the software is run. This would be an enormous benefit because Origin is unstable and crashes unpredictably, resulting in loss of much work. Microsoft Word never crashes on me, yet it has a built in autosave feature (to guard against loss of work in the event of a system failure). Origin users really need this feature.
To enable my script automatically whenever Origin runs just add it to Macros.cnf. The drawback is that you won't be able to use the timerproc macro for anything else.