In a chest or any other inventory, when you move a single item or all of a stack of items, there is no animation showing that item moving across the screen between the two inventories. It just teleports to the other inventory. When you tap a stack of items to move one unit of that item to the other inventory or when you press and hold and move a portion of a stack, you see the animation as expected.

What we expected to happen: When moving items, regardless of whether it is a single item, all of a stack, a single item of a stack or a portion of a stack, we would expect to see the animation that indicates inventory has moved.

Note 3
Confirmed on Samsung Galaxy S4 Android 5.0.1 MCPE 0.11 build 14