Congrats on the Civic hybrid ... manual, yay!
The gen. 1 Insight also had an X-Gauge you could program into the ScanGauge-II to show lean burn status, and I'd be surprised if you couldn't do the same for the Civic.
But quite honestly, if you monitor the instant gauge as Mr Pancake suggests, eventually you'll probably be able to feel the shift in/out of lean burn when at cruise. As you've found out, it's much more subtle than the VX, but I was eventually able to detect it reliably on the butt-o-meter in the Insight.
An engine kill switch is also highly recommended. If the auto-stop feature is anything like the Insight, it's very mild and big gains can be had by killing the engine sooner & more frequently than the computer would. Power steering, brakes and instant restart remain available, too which is super nice.
I want to say welcome to the forum, but you've already been here for a while.