I have a few things that I like to keep track of… heating of the house, water heating, power consumptions etc… but I need to add these diagrams each time I go the insights page.
It would be great if I could save setups in perhaps tabs or something alike 
Maybe you can use google-sheets for that.
Yes would be nice feature, there is a rumour about a new “dashboard” in homey web app…….
There are many way to do that.
Personally I use InfluxDB to retrieve all my data. And with Grafana I create queries on that database to present in a Grafana dashboard.
In this forum there are several articles to find on how to setup InfluxDB and Grafana.
Or you can use SQL with < Insights2SQL > App voor Homey | Homey
Or use Exporteer Insights App voor Homey | Homey
But I think your topic title is a little bit misleading.
You mean you want to save the insights diagram layouts (not the data). Right?
You might want the app Insights reloaded.
