Google says NO, Grooveshark says YES! Grooveshark offers Premium Version Android App from their Website
by Antonio Wells
Apr 18, 2011 3:10 PM –
Recently Grooveshark, music streaming and music recommendation service, made headlines because Google abruptly pulled their Android app from the Android Market due to licensing and copyright concerns. Today, Grooveshark made the premium version available directly from their website enticing two week trial for new users (normally $9 bucks a month).
To install the app directly you must allow Android app installs from “Unknown Sources” from the settings menu of your device. Sorry AT&T customers with Android, this won’t work for you. 
Use the link below from your device to download:
Don’t you just love the open source nature of Android! 
[Source Lifehacker via Business Insider]