Question

<div id="likelyToBeCalled">
    <div class="likelyOddHeader" id="Test1">
        <div class="likelyOddA">Test1</div>
        <div class="likelyOddB"><img src="image002.png"/></div>
        <div class="timeZone">West</div>

//closing tags here

<div id="unlikelyToBeCalled">
    <div class="likelyOddHeader" id="Test3">
        <div class="likelyOddA">Test3</div>
        <div class="likelyOddB"><img src="image002.png"/></div>
        <div class="timeZone">West</div>
    </div>

//More closing tags here

Jquery code:

<script type="text/javascript">

$(document).ready(function() {
$('#Test1').click(function() {
$('#Test1').appendTo('#unlikelyToBeCalled')
)};
)};
</script>

Answer 1

Fix your script :

$(document).ready(function() {
     $('#Test1').click(function() {
        $('#Test1').appendTo('#unlikelyToBeCalled')
     });
});

(two last lines)

I tested it and it worked as I thought it would.

Using any browser developer tool (like the Chrome console), you would have seen the javascript error.