Yes, you're right. The Time feature is in beta mode on the desktop/web version of QuickBooks Self-Employed (QBSE). Currently, it isn't available on the app. With this, I'd recommend utilizing the said feature by logging into your QBSE account through a web browser.
In the meantime, I'm adding this article to further guide you in monitoring the growth of your business using QBSE: QuickBooks Self-Employed Overview. It includes topics about entering business transactions, taxes, and Schedule C categories to name a few.
Please know that you're always welcome to comment below if you have other concerns or follow-up inquiries about the available features in QBSE. I'm just around to help. Take care always.