I had this happen to me, too, though in a different scene later in the series, and I was able to sort of… wiggle my way through it. I have solutions that might work, for both Android and PC—if you're on iOS, most of the solutions for Android should work on iOS, too.

It would seriously be a huge shame to miss out on this game because of this bug, so I genuinely hope you see this message!

Tip: The UI still works even when it's hidden from you!
This means you can tap on the invisible Back, Forward, Skip, Settings, History, Save, and Load buttons, even when they are hidden during animations.

• Your best bet is going to be to:
• Open the Settings menu and set Skip...
  • Transitions: ON
  • Animations: ON
  • Unread Text: ON
• Load up your most recent save, but prior to the point where you got stuck.
  • If this is an autosave, make a manual save here. 
• Press Skip and wait a few seconds until it (hopefully) skips right past the scene you're freezing on. 
• You can simply tap/click anywhere to make it stop skipping.
• Make a manual save after you've skipped past the broken scene. 
• Tap History and scroll up until you find the location right after the broken scene.
• Tap the text and you'll be brought right back to that point.
• Make another manual save, just in case.
• Don't forget to switch the Skip settings back to your personal  preferences.

• When in the frozen scene, try clicking/tapping in the spot where the "Go Back" button is then either using Skip or just tapping, see if you can make it past the frozen scene. This is how I managed to solve it, personally.
  • On PC, you can simply press the key bound to Go Back. Look at the Input section of the Settings menu.
  • You can use a key on Android/iOS too, but only if you can connect a wired or Bluetooth keyboard to your device (or, I suppose, if you have one of the few devices that are still manufactured with hardware keyboards built-in). 
    • Gamepads might even work, though you'll need to bind the button manually in the Input Settings.

• Try clearing the cache for the Out of Touch app:
  • Open the app switcher/recent apps menu.
  • Tap the app icon of the Out of Touch app.
  • Tap App Info → Data/Storage.
  • At the bottom, tap Clear Cache.
  • Try again to make it past the scene.

Tip (Android/iOS): You can tap with two fingers to open and close the menu.

• If that doesn't solve it:
• In the Main Menu, tap Settings and set your Autosave timer to the minimum of 1 minute.
• Load your most recent save and try to tap through to the next scene using any of the above methods.
• If you manage to get past one scene, but get stuck again, then wait for an autosave before quitting and reloading the game. 

Tip: When this happened to me, I had to break through three or four of those frozen animated scenes in a row before I could keep playing.

•  As a last ditch effort, make a backup of your game saves, redownload the entire game, uninstall, and reinstall again. This one is less than ideal, IMHO...
• You could try switching platforms temporarily, as well: 
  • On Android, copy your save files over to PC and see if you can view the scene there. 
  • Or, on PC, copy your save files over to Android yadda yadda.

Fuck, it's still not working!

(or…) 

I'm too fucking LAZY

to try all of that shit!

… … …

…the fuck do I do now? :(

Don't fret. I could send you a copy of my save file at practically any point in the game (well, up to the end of chapter 49, at the time of writing). 

Alternatively, you could send your save file to me (or anyone else, really), and I could tap past the scene, save it, and send it back to you.

I don't necessarily see comments here very often, so don't be surprised if I miss a reply on this post; just message me instead.

You can reach me here, and I'll get back to you ASAP.