No Problem

I first thought "hmm how to get the new generated private Key from the lightwallet" ...
But the Key is the Brainwallet Password - good to know

Here are a few of the ninja nodes supported by devs.
http://san.ninja:7777/ - San - Canada
http://hachi.nem.ninja:7777/ - Hachi - Canada
http://nijuichi.nem.ninja:7777/ - Nijuichi - France
http://jusan.nem.ninja:7777/ - Jusan France
http://go.nem.ninja:7777/ - Go - France
I consider this the first ever decentralized lightwallet/webwallet in that you can now transact on so many different NIS! Congrats to the devs.
The brainwallet (or private key wallet) can be recreated on any any of these webpages. Your information connected to each of these will only be stored on your machine locally as well as all transactions will be prepared and signed locally. You only need trust that these servers are running proper versions of NEM that haven't been tampered with.
If you are connecting to one of these servers and it goes down or isn't supported, then you can use the passphrase to get into that account on a different server no problem.
But it should be clear that the passphrase isn't your private key, it is a deterministic seed from which your private key is created and can be recreated.
This is version one of the Lightwallet so it is still being developed to look better and work with more functionality. It is very excited to see these most core functions enabled and working though!
Congrats to Gimre for working so hard on this and making it work.