This issue has been occurring on all my worlds but I cannot remember when it started. I used to think it was because of the amount of texture packs I've got on and that might be why the textures are breaking but today I took off all my texture packs and the issue still hasn’t resolved itself, in fact I think that made it worse. This does not affect realms as far as I can remember but does affect servers.
The issue is caused by having V-Sync disabled and the Framerate Limit option set to Unlimited. See MCPE-202009.