A lucky escape!
I had that happen to me on my road bike about 15 years ago, only the saddle fell off straight away. Fortunately, I felt it 'give' and managed to raise myself enough to prevent the insertion of the seat post where I didn't want it inserting!
Equally fortunately, I was at the summit of one of the big hills above Hebden Bridge at the time. I stopped to pick up the saddle, stuffed it in my back pocket, and then freewheeled down the hill to home.