Blockchain Tokens and the dawn of the Decentralized Business Model
Fred Ehrsam

The appcoin model (at least the model that has been used up to this point) was debunked by Daniel Krawisz and the Satoshi Nakamoto Institute over two years ago:

There may be models that involve “dividends” to token holders that could work (what Bitcoin Hivemind is doing and maybe also Augur). These would represent ownership of a network more than a currency though (users wont need to use the appcoin to interact with the app).