Such training is certainly possible. Pavel has recommended it for busy trainers and included doing so with the three power lifts. Rest periods were around 2 minutes and intensity more moderate but volume higher. Something lik 3 x 5 w 70 % or 5 x 3 at 80 %, maybe singles and doubles around 85 %.
Fatigue cycling was the phenomenon which suggested that alternating two lifts would allow recovery for the first lift if the involved muscle groups were dissimilar. I.e Squat and Bench Press, Deadlift and single arm press. Usually, with the three power lifts it would be more along Sq-Bench-DL-bench-sq. The bench would cut between squats to accommodate their similar nature. I’d recommend, if possible, to include a lesser spinal loaded movement after a large one, which is why in my example, I included a one arm k-bell press over standard barbell press. The bench, or other horizontal presses, shouldn’t have as much lumbar stress as a squat or deadlift.
of course, such training could work with smaller assistance exercises for different reasons. Time strapped full body could be dips, chin-ups and squats or DL done as a circuit. Such a cycle or of similar nature is good for fighters, who need conditioning on top of strength or power. Waterbury uses this method.
Arnold’s antagonist training where a direct antagonist pattern is done can also be done as it stretches the muscle that just worked in the previous lift. Bench press and rows, chin-ups and overhead presses. Also saves time and promotes balance.
Using smaller exercises can help activate certain muscles that need to be activated so they can contribute more to a lift ie planks or glutes bridges before squats or isolation exercises are used by bodybuilders who want a larger movement to affect a muscle group more readily. So if they wanted to hit hit their triceps harder with CG benches, they may do some push downs to “feel” this muscle working and this make them more active for the big movement. the same works with movement patterns.
finally, power exercises done before a big lift have been shown to activate large HTMU and force production in similar movement patterns. Plot-pushups or mes ball throws before bench and jumps or swings before squats or deadlifts. Such exercises are done for power, so quickly and for less than 3 reps.