You can call memory_get_usage() before and after allocating your class as illustrated in this example from IBM. You could even create a wrapper to do this, possibly storing the result on a member variable of the complex class itself.
EDIT:
To clarify the part about storing the allocated memory size, you can do something like this:
class MyBigClass
{
var $allocatedSize;
var $allMyOtherStuff;
}
function AllocateMyBigClass()
{
$before = memory_get_usage();
$ret = new MyBigClass;
$after = memory_get_usage();
$ret->allocatedSize = ($after - $before);
return $ret;
}
At any point in the future, you could check allocatedSize to see how big that object was at time of allocation. If you add to it after allocating it, though, allocatedSize would no longer be accurate.