I made an iPhone-only app for Live (Grip, https://www.gripforlive.com/lf). It’s a utilitarian app to control playback, recording, undo/redo (and saving the file!), and especially navigating arrangement view while playing drums, doing vocals, or anytime you’re not in front of the computer. I added voice commands for hands-free use, made it leftie-friendly, and wanted it to feel like a natural extension of Live.

Unlike Push, or apps like Knobbler, LK, touchAble, etc., it's not really an instrument/creative tool itself, and not customizable. The vision is more like you're already using other instruments (your keys, your voice, your drums, your bandmates/studio-mates) and you just need something to stay in charge of Live even when you're away from the computer. And it's simple, no time configuring or mapping anything.
It's Mac-only for now but I'd love to hear if it works for your workflow, complements other tools or instruments, or what else you'd like to see if anything.