Thanks, but I think this is very different from connection pooling on a DB, say pdbouncer.

Doing some searching, I did find this that seems much closer: http://blog.rowanudell.com/database-connections-in-lambda/

TLDR; you can define the connection to DB outside of the scope of a given function, so it’s scoped to the container and can be reused so long as the container is not recycled. Seems promising!

That's basically what I wrote