A lighting network invoice for tipping would be great

They expire after two days though don't they? Or are you hoping of an autogen of some sorts.
There are some services (like the one in my signature) that are already doing that
Edit: I'm no expert, but I just checked here (
https://github.com/lightningnetwork/lightning-rfc/blob/master/11-payment-encoding.md) and i wasn't able to find any limitation regarding expiration