I can't think of an easy way. If the chunk is being pulled in with a chunk tag, you might be able to use a plugin attached to OnLoadWebDocument that finds the chunk tags with a regex, then writes or displays it somewhere.
Possibly a better way is to add a snippet like this to the chunk:
[[!ShowName? &chunkName=`actualNameOfChunk`]]
<?
/* ShowName snippet */
if ($modx->user->get('id') == 1) { // adjust ID as necessary
return $modx->getOption('chunkName', $scriptProperties, '');
}
return ''
The name will only show for the user with the specified ID.