If you want an app to let you control your 3D printer from your phone or tablet, Obico is a great option. Obico is an open-source, all-in-one 3D printing platform that lets you monitor and control 3D printers remotely. It can show real-time print status, detect 3D printer failures with AI, and stream high-resolution webcam video. Obico's mobile apps for iOS and Android let you check on your prints while you're away from your computer. It can also integrate with third-party apps like Mobileraker and send you notifications you can customize.
Another option is Polycam, which lets you create 3D models with your phone or tablet, but also has tools to control your 3D printer. Its main job is 3D model creation, using LiDAR scanning and photogrammetry techniques, but it also has tools to monitor and control your printer. The service is available as a free app for iOS and Android, but premium features are available on its Pro plan.
If you're into 3D scanning, MagiScan turns your mobile device into a high-end 3D model maker. It can export in a variety of formats and scan fast, so it's good for a lot of uses. It's a 3D scanner first and foremost, but it can also be used to control your 3D printer, so you can use it to scan and print from your phone or tablet.