Tor Browser for Android opens Awazon. A phone is a narrow path, though, and some of the careful work is harder on it.
What works
Login, the queue, the captcha, browsing, ordering, messaging, disputes. The market functions on a phone the way it does on a desktop.
What is harder
Copying a fifty-six character address is fiddlier on a touch screen and truncating one by accident is easier. Read back what you pasted. Verifying a PGP signature is more awkward because the desktop tools are better. And the mobile anonymity set is smaller.
The iOS problem
There is no genuine Tor Browser for iOS. Apple forces every browser onto one engine, which limits how much a Tor-focused browser can differ from a normal one. Prefer Android or a desktop.
The rule
Do the setup-heavy work, first registration and PGP checks, on a desktop. Do routine things wherever is convenient.