Hah, I just started riding clipless last month too. I've had a couple of close calls; have not gone down yet. The closest was a couple times when I came to a light, put my unclipped foot down just a bit too hard, and actually moved my center of gravity enough that I was going to fall on the other side where I was clipped in lol. Once I was able to unclip superfast and just put that foot down relatively calmly. The other time...I flailed around like a lunatic, jamming my unclipped leg out and managed to re-balance myself. Passersby must have thought I had some serious mental health issues...

And yea I second the just go down if you can. I've had 1 ultra-low speed fall, on a recently blacktopped parking lot. I was going <5mph on a recently blacktopped parking lot, after a rain, and taking a nice gentle turn at low speed because I KNEW it was super slick. Tires still completely gave out, and I went down so fast I had no chance to correct or brace myself. Leg was slightly sore for a couple days...but really all things considered, no big deal at all. Especially relative to bashing an elbow on the ground or spraining a wrist.