I third the tethering suggestion!
Also: When he's not tethered, use gates/doors/whatever to limit Noodle to a puppy-proofed space. This gives him the chance to practise freedom without setting him up for failure.
We have an open-concept home and our kitchen/living/dining area is still puppy-proofed. Peggy will be 9 months old on Wednesday and (so far!!) has never chewed a shoe or any valuables because she just doesn't have access to them.
Peggy still BEGS us to chase her, but we don't. Ever. I offer her up an alternative, though: "Chase me!"
It's not a free-for-all. It's actually more like working on our heel, off-leash and indoors, but she doesn't have to know that! I do lots of direction changes, with quick but controlled movements, and she has a blast sticking close.
In general, whenever Peggy persists with an undesirable behaviour, I try to think of a new outlet for it, to satisfy whatever need isn't currently being addressed.
If Noodle is also showing a strong need to chew, Himalayan Yak Cheese Chews have been great for us. We hold one for Peggy in the evening and she really gets to work those adult teeth. Also works great stuck in a Kong. That way, when it gets dangerously short, it gets trapped inside. And there's no waste with yak cheese: Just microwave it into a crunchy puff snack.