I’ve just finished extension for Palabre (Android) that adds support for Tiny Tiny RSS: https://play.google.com/store/apps/details?id=com.brouken.palabre.ttrss
Extension supports: HTTP basic auth, full two way sync (including starred articles), batch read state changes etc.
The extension is free. I will probably put sources to github eventually.
I’m not that much convinced by Palabre itself - it claims to support offline mode yet mostly doesn’t save images (only when synced on charger even though I have that setting turned off).
Another issue is that sync actually doesn’t start unless you enable one built in provider.