I've seen more and more games do that, from XCOM and Space Alert, which mostly use it to provide randomness and a timer to Mansion of Madness, which is mostly facilitating exploration.

Those games work well, but for me, I wouldn't want to play a board game that leans on an app any more than Mansion of Madness; at that point it's a video game, and while I enjoy those, it's not why I play board games!