Keep in mind that in areas where mountain lions are common, attacks are very uncommon, and I've not heard of any attacks on cyclists even there. You're probably 1000 times more likely to get hit by a truck than to get attacked by a cougar up there.

We lived in Colorado for several years, and in the winter when it got dark early, I'd go hiking up to Horsetooth Rock near Fort Collins at night. Not quite the hazard you might expect. I think in all that time, I saw mountain lion tracks in the snow twice, never saw a mountain lion, saw bears twice while hiking.