Last year I wrote a bot that, when followed, would follow a user back and then send each of the links they tweeted to the Wayback Machine: https://parkerhiggins.net/2017/07/linkarchiver-a-new-bot-to-back-up-tweeted-links/
It relied on an API that Twitter is deprecating this week, and I will be shutting it down.
I think a ported version would work over here, technically, though it feels very hacky. Would it be appreciated? It feels like per-user opt-in is the wrong layer to do this.