The Rival Chess project has had a home at RHP right from the very start, and we have now released an Android version to bring this project up to date.
Version 1.1.3 can be downloaded here
From the market place
Direct from this site (market place link above is preferable, unless you are familiar with installing APK files)
This is *not* a client for RHP - this is hopefully coming quite soon - Rival is a single player/2 player "hot seat" chess game.
PGN below from a game on Android vs Android on a HTC Desire on 1 second thinking. (You can export PGNs direct from the app)