Here are the steps you can try to resolve Outlook saving or syncing issue:

1. Check if Outlook is up to date and installed properly
2. Restart your device
3. Check the internet connection
4. Update Outlook and reset all settings in the Account settings
5. Check for compatibility issues between the Outlook version and the hardware system
6. Check for system conflicts and compatibility issues with other programs
7. Reinstall the Outlook program if the problem persists
8. Enable Outlook data file synchronization