From this closing transaction, they send themselves their fair share of the channel, as represented by the most recent channel state. (bitcoinmagazine.com)
Either party can then «drop» the latest channel state on the blockchain at any time and claim their balance whenever they want to. (bitcoinmagazine.com)
Going forward, the community building Lightning also needs work on encrypted communication between nodes, storing channel states, and so on. (coindesk.com)