The live function is registering a click event handler. It'll do so every time you click the object. So if you click it twice, you're assigning two click handlers to the object. You're also assigning a click handler here:
onclick="feedback('the message html')";
And then that click handler is assigning another click handler via live().
Really what I think you want to do is this:
function feedback(message)
{
$('#feedback').remove();
$('.answers').append('<div id="feedback">'+message+'</div>');
}
Ok, per your comment, try taking out the onclick part of the <a> element and instead, putting this in a document.ready() handler.
$('#answer').live('click',function(){
$('#feedback').remove();
$('.answers').append('<div id="feedback">'+message+'</div>');
});