Just an update on this.
The initial Lollipop killed my Nexus 7, utterly unusable. The 5.0.2 update made it a lot better, I thought it was fixed at first but it was still problematic. Sometimes it was fine, sometimes it was terrible. In particular, it was lagging like a plumber for ages if I’d had to reboot it. Cache cleaning made no difference.
But, after a lot of cocking about and trial and error, I believe I’ve isolated the cause, on mine at least.
And it’s… *drumroll*… the Facebook app. Uninstall it and it’s slicker than greased squirrel shit, put it back on and it all goes to custard again.
Try it, let us know how you get on?