Here's a quick blog post introducing kettlebell sport training.
Basically timed sets (usually 10 minutes but can be longer) of continual reps in either the snatch or clean and jerk with no putting the kettlebell down.
It's a lot tougher than it sounds :)
Whilst snatching the rest position is with the kettlebell overhead. Once you try this, you'll soon realise that rest is a relative term. For the jerk, the rest position is in the rack.