"cached iteration over another iterator" means this iterator is always one step behind the inner iterator. In other words, the "first" iteration will yield null:
<?php
$cit = new CachingIterator( new ArrayIterator( [ 'a', 'b', 'c'] ) );
echo $cit->current() ); // null
echo $cit->getInnerIterator()->current() ); // "a"
while($cit->hasNext()){
// we start with a "next" since the "first" item is null
$cit->next();
echo $cit->current(), '<br>';
}
?>
iterating this way gives us an access, ahead, to the future item (aka current item of the inner iterator)