Welcome to the Community. Let me share some information regarding the auto-saving feature in QuickBooks Self-Employed.
At this time, the ability to save your data automatically is unavailable in QBSE. You'll have to click the Save or Save as draft button to save your data.
To learn the basics about QuickBooks Self Employed, you can check this article for your reference: QuickBooks Self-Employed Overview.
You can also browse articles that can guide you with your QBSE tasks. To get started, you can check our QBSE Help page.
If there's anything else you need navigating your account, please don't hesitate to leave a comment below. I'm always around to help you.