<?php

require_once '../../csrest_lists.php';
$auth = array('access_token' => 'your access token', 'refresh_token' => 'your refresh token');
$wrap = new CS_REST_Lists('List ID', $auth);
$result = $wrap->update_custom_field('[CustomFieldKey]', array('FieldName' => 'new field name', 'VisibleInPreferenceCenter' => true));
echo "Result of PUT /api/v3.1/lists/{ID}/customfields/{fieldkey}\n<br />";
if ($result->was_successful()) {
    echo "Updated with code\n<br />" . $result->http_status_code;
} else {
    echo 'Failed with code ' . $result->http_status_code . "\n<br /><pre>";
    var_dump($result->response);
    echo '</pre>';
}