This is something I noticed right away with my iPad 4 when I upgraded it to iOS 8 (from 7.1.2) when it first came out and I immediately downgraded! It wasn't all the time but it was noticeable every time it happened when I would touch usually a third party app there would be a half second to full second pause before it would go into the transition animation whether it's the fade or the app spring animation depending on if you have reduce motion set. It still does it on my iPhone 6 with 8.4 once and awhile but I can never get it to happen on my iPad 4 with 7.1.2. It's always smooth. I went ahead and played with beta 3 on my i6 too and noticed the lag was even worse like 1-2 seconds like you guys are saying! Hopefully they clean this up! I've been using iOS since 4.0 and things were always very smooth and no hesitation until iOS 8 in my experience!