The blockchain in twister is used as a distributed user registration database:

How does it work?

For the complete description you should refer to the white paper. But in short: twister is comprised of three mostly independent overlay networks. The first provides distributed user registration and authentication and is based on the Bitcoin protocol. The second one is a Distributed Hash Table (DHT) overlay network providing key/value storage for user resources and tracker location for the third network. The last network is a collection of possibly disjoint “swarms” of followers, based on the Bittorrent protocol, which can be used for efficient near-instant notification delivery to many users.