Next In Taxonomy

I’m pretty sure this is supported (after all, we can build taxonomy list pages), but I simply can’t wrap my head around it.

I have a content type that files into a taxonomy. On the bottom of each page of that content type, I want to place a link that refers to the next/previous page (by date or weight) in that taxonomy.

Basically the same function as:
{{ .Page.Position.NextInSection }}

Just with a Taxonomy. Is there an obvious way to do that that and I’m just to stupid to figure it out?