Value Prop: Your value prop is clean and simple and I think you do a good job of explaining it. For improvements, you might try telling a story to build an emotional connection with the reader. I think your sales pitch is kind of feature driven, when you really want benefits. Your video might be more effective if you show how Snooze can save your ass in a story driven way.
Layout Suggestions: The class "text-3" explination bits are too tiny compared to the headline on the front page. Text is also too small to read on the Tour page.
Video Suggestions the video's placement on the homepage is jarring. especially at the start of the presentation. can you make the background of the video's splash page blend in more with the existing HTML/CSS? It currently feels kind of Picture in Picture. IMO Vimeo does a better job of removing the player's chrome (play pause stop buttons) and getting out of the way of your content.
CLI Suggestions
Read from/manipulate the crontab itself from inside your cli. Even people who love cron hate writing crontab entries. If you could turn some of that into plain english, many people would be more excited about using your service. I think many of the parsing issues here are handled in other rubygems like whenever.
example:
snooze cron - would list all of the crontabs snooze cron monitored - would list all of the crontabs that are already monitored
etc.
Good luck!