Chunk lag
There are plenty of occasions where the chunk were not on par. When loading the world, there will be lighting issues at the chunk boarder and can only be solved by updating the chunk-place a block, use flint and steel, etc. When using the command "fill", there will be chunks that are unaffected and some were filled but do not render at all. These all have to be solved by updating the chunk. Same thing with liquids.
Villager-door issue
They seems to be able to close the door OCCASIONALLY during day time. HOWEVER, they will not close the door behind them during night, when mobs spawn. They will then be confronted by incoming zombies no matter how the door was arranged. The zombie just went in, and killed it.
Ticks
I built some redstone mechanisms, and none of them are complicated at any mean. HOWEVER, I have experiencing lag (not the actual game lag) on the redstone ticks. For example, I built a 5-tick redstone clock, and in reality, it clocks like, 7 ticks. That is 40% longer than what is was supposed to! Not to mention 1-tick clocks.
The whole game just seems to be a LOT laggier and a LOT more likely to crash than the previous versions (i.e. 0.11.0) and every version on Android. I hope these will be fixed.
CDR_Xavier about Minecraft: Pocket Edition, v1.1.3