With a particular solo campaign I tried my hand at intercutting between a player's three different characters. They were all vampires and they were in different situations during a praxis seizure. I treated the session like a television episode and when an important moment came up or a scene ended I'd switch to another one. If you'd like to read more on how it actually went down, take a look at this Shadows Campaign post.
It worked really well for me as every time I ran out of steam, or that character didn't have much to do, I could cut away to the next character. It also kept the player from getting bored or frustrated when one character hit a dead end and had to twiddle their thumbs for a short while. It also reinforced the sense that something big was happening as the player got to experience what was happening to each of the characters within the same time frame.
From a player perspective, the technique didn't work as well because my fiance had to re-calibrate his Point of View, his knowledge, and his motives with each swap. He enjoyed it for the first session but expressed an interest in returning to the usual style with further sessions which works for me. Of course, different players may vary with their interest in this depending on if they can switch between mind-sets easily or even if they're just a big fan of the technique.
I wouldn't suggest doing this with an entire party of players as they'll each take a different length of time in switching mind-sets and some may be entirely unsuccessful at it and get confused. A party also always takes more time to come to any decision or finish their actions than a single player anyway so you won't get as many inter-cuts even if you choose to do it.
Still, it all boils down to your skill and your players' attitude, so give it a go if you think it will work but give them plenty of fair warning and see if you can get them on board first. If it doesn't work, oh well. If it does, then you have yet another technique in your arsenal.
So, have any of you tried to inter-cut? Did it work?