adding buyer to aweber with Membership

Is there a way to automatically add someone to an Aweber email list after signing up through the Membership plugin?

And, if so, is there a way so that it only occurs after someone makes payment, not just at the registration page?

I found this thread, started 2 years ago, requesting Aweber integration. Is this like Stripe integration, which I see having requests for years but nothing saying it's being worked on?

Has anyone found an easy way to integrate Aweber it since there isn't a plugin yet? I would love to be able to add and move to/from lists as the subscription is made and/or cancelled.