This is a headline in the Sun, for a story about 2 Labour peers who will be banned from the House of Lords after being caught offering to change the law in return for cash. 

In this context a peer is a member of the House of Lords, the Upper Chamber of the Houses of Parliament.  The headline is a play on the idiom to be out on your ear, which means to be forced to leave your job because you have done something wrong, or because your work is not good enough.