Commenter should see only his comments in wordpress

What you need to do to achieve this is to provide the second parameter of wp_list_comments(), which would be $comments and is described like this:

(array) (optional) Array obtained by get_comments query.
Default: The default return of get_comments.

Which actually makes it clear what you need to do, which would be utilizing get_comments(). Below a generic example on how to achieve this:

$user_id = get_current_user_id();
$user_specific_comments = get_comments(
    array(
        'user_id' => $user_id
    )
);
wp_list_comments(
    array(
        'per_page' => 3
    ),
    $user_specific_comments
);

The principle is clear now, so this should get you started.