iPod Classic is not registering as one of my devices in iCloud, but does in iTunes

OK, short of an Mac, I'm completely on Apple's bandwagon with my devices.

I am fixing everything up just so, made sure all my t's were crossed and i's dotted. So, colour me surprised when my old 120G iPod Classic shows up in ITunes, but is not registering as one of my devices in iCloud (it is absolutely present in the "My Support profile, as it should be).

This is very confusing, and I don't quite know what to make of it. It's working fine, syncs in iTunes as it should, obviously shows my ownership, but there it is, it's not a "thing" in my iCloud.

Little advice if you would be so kind.

Thank you.