If you use a long emote (it's more noticeable that way), and then change your skin, your character stands still without moving until the emote completes.
To see this for yourself, follow the steps;
1) Have at least 2 skins, one to use, and one to change to.
2) Use a long duration emote.
3) Quickly change your skin.
4) Go back to see your character standing there until the emote completes.
Thank you for your report!
After consideration, the issue is being closed as Working as Intended.
Please note, that mechanics of the game may change between updates.
Things such as graphics, sounds, world creation, biomes, redstone, villagers, and animals may not work the same in current versions.
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