Chrome,
var websiteeditcase = document.getElementById("Tegs");
var newDiv = document.createElement('div');
newDiv.innerHTML = "<div> убрать тег </div><div>Тест тега</div>";
newDiv.onclick = function ()
{
websiteeditcase.removeChild(this)
};
websiteeditcase.insertBefore(newDiv, websiteeditcase.firstChild);