If you want to handle click event from client side you can achieve as below.
<asp:RadioButtonList ID="radListType" AutoPostBack="False" runat="server">
<asp:ListItem class="radio-type" Selected="True" Value="User" >User</asp:ListItem>
<asp:ListItem class="radio-type" Value="Public" >Public</asp:ListItem>
<asp:ListItem class="radio-type" Value="Private" >Private</asp:ListItem>
</asp:RadioButtonList>
<script>
$(document).ready(
function () {
$(".radio-type input[type=radio]").click(
function() {
alert($(this).val());
}
);
}
);
</script>
if you want to get the selected check box value you can use below
$(".radio-type input[type=radio]:checked").val()