Peers?
The Blockchain for Android or iOS app is a mobile app that communicates with a back end / host.
An encrypted copy of the wallet can be saved using the "Backup" from the Blockchain.info/wallet web site. You can also export the private keys from there to be imported elsewhere. An alternative client, MultiBit, can import the encrypted Blockchain.info/wallet backup.
But the mobile app doesn't work without a connection. So you don't need to store the "petty coinage", as it isn' t on the mobile app it is in your encrypted wallet on the host.