The Loki Wallet allows you to safely store and spend your Loki how you wish. The Loki Wallet is powered by remote nodes provided by the Loki community and the Loki team. Remote nodes allow you to synchronize with the blockchain without having to store all of the downloaded blocks on your device.
The Loki Wallet that you download on the apple store is built from open source code hosted on Github here https://github.com/loki-project/loki-iOS-wallet. We welcome any feedback or contributions to our Github by creating issues or pull requests.