Sensor dust, 5DM3?

Just finished wet cleaning the sensor on my 5DM2. I'm certain the auto sensor cleaner doesn't work on mine but its never been a big issue, just a pain in the proverbial. Sometimes a couple of swipes with the sensor swab is enough, other times, like just now, it goes from one end to the other, then one corner to the other. I finally got rid of it all except 1 little speck that's up against the edge, I can live with that. I live on a peninsular and prefer the 100-400 as my walkaround lens, sometimes changing to the 70-200f4L IS, the 24-105 or the 16-35 in my travels. I've got my lens changing times down to what I consider would be Olympic standard but still it gets in. What about the 5DM3, any dust issues with it?