Like you said, science don't tell us everything but it's the only thing that tells us anything at all. Every day I'm bringing some science studies, theories, etc. when talking to some of my coworkers or family. The irony is that some rather believe in a an"invisible man in the sky" that gives you no evidence for his story than the science that at least gives evidence of the answers it has.
Anyway I refer to science regularly. It's the main thing that made me doubt all the biblical turmoil where I was raised...

I do

Science hardly enters social conversations for me. The only time, for me, was when I challenged someone proclaiming that humans have no impact on climate change. The couple in front of us (we were at the stadium watching a football game), told us to shut up and keep science and political discussions outside of footy. Hahaha! That was a good call.

When scientific knowledge contributes to a discussion, of course I use it.

When I am around family or friends and I get tired of listening to the nonsensical talk about movies, celebrities, sports etc, I often, just out of being snarky, will ask what someone might think about some scientific idea, eg. "Does anyone have an opinion on Quantum Entanglement and what it has to do with Einstein's 'spooky action at a distance' comment". I usually get some blank stares.

I love bringing up bio-science topics. Michio Kaku, a future scientist, writes in one of his recent books that that if you can live to 2060 that you have a good chance to live forever.