JSFiddle - React, Tailwind, and code Playground

HTML

<script src="http://ajax.googleapis.com/ajax/libs/jquery/1.9.1/jquery.min.js"></script>
<table class="form-table" id="customFields">
	<tr valign="top">
		<th scope="row"><label for="customFieldName">Custom Field</label></th>
		<td>
			<input type="text" class="code" id="customFieldName" name="customFieldName[]" value="" placeholder="Input Name" /> &nbsp;
			<input type="text" class="code" id="customFieldValue" name="customFieldValue[]" value="" placeholder="Input Value" /> &nbsp;
			<a href="javascript:void(0);" id="addCF">Add</a>
		</td>
	</tr>
</table>

JavaScript

$(document).ready(function(){
	$("#addCF").click(function(){
		$("#customFields").append('<tr valign="top"><th scope="row"><label for="customFieldName">Custom Field</label></th><td><input type="text" class="code" id="customFieldName" name="customFieldName[]" value="" placeholder="Input Name" /> &nbsp; <input type="text" class="code" id="customFieldValue" name="customFieldValue[]" value="" placeholder="Input Value" /> &nbsp; <a href="javascript:void(0);" id="remCF">Remove</a></td></tr>');
		$("#remCF").on('click',function(){
			$(this).parent().parent().remove();
		});
	});
});