Don't do Tabata power cleans. Your form will break down incredibly. And if it doesn't then your not doing enough weight/reps.
Second, the Tabata study used 20s work, 10s rest at 170% aerobic capacity. This is important if someone wanted to replicate the study to achieve similar results, or wanted to experiment with one of the variables in the study. But beyond this there is nothing special about 20s work, 10s rest, and applying it to things like power cleans, squats, push-ups, burpees etc. has nothing at all to do with the Tabata study, beyond sharing the same work-rest times, which, by itself is meaningless.
What you want is an exercise where your technique won't break down, or if it does break down it isn't a huge issue. Prowler work, sled work, hill sprints, shouldering a sandbag, etc. Then you want to figure out which energy system(s) you want to focus on. So let's say the priority is the ATP energy/alactic anaerobic, so your work times will be between ~10-20s. Your rest time will depend on your level of conditioning, and how many work periods you want to get through. Or you set yourself a particular rest time, and see how many rounds you make it through. For example, if you do hill sprints, your rest time could be the time it takes to walk back down to the bottom the hill. Keep going until your hill sprints really start to slow down.