what errors are you getting?. everything looks fine, my guess it's an undefined variable (ItemRequested),
<?php
require_once("dbconn.php");
$IR = (isset($_POST["ItemRequested"])) ? mysql_real_escape_string($_POST["ItemRequested"]) : '';
?>
<html>
<head><title>Title Here</title></head>
<body>
<?
$sql = "SELECT `typeName`
FROM `Item`
WHERE `typeName` LIKE '%".$IR."%'
LIMIT 0 , 30 ";
$runItem = mysql_query($sql) or die ("Query not valid!".mysql_error()); //<< added mysql_error() for development aswell
while($item = mysql_fetch_array( $runItem ))
{
print $item["typeName"] . "<br>";
}
?>
<HR>
</body>
</html>