that's one approach and looks pretty simple and effective.
Can't see why it wouldn't work
If you made it out of Flexible pla, it would grip better and have a little give and be virtually indestructible :-)

What I would do is to dismantle the hinges, see what's broken and then probably design and make one of those :-)

But the first thing i would do is check thingiverse: https://www.thingiverse.com/thing:3189871
'cos you never know :-)