Glitched out world graphics

What I expected to happen was just a normal minecraft world graphics

*What actually happened was blocks that were there became invisible and random world chunk images appeared repetitively every where, especially where it shouldn't be. Inconsistent.

Steps to Reproduce:
1. Started world
2. Changed main hand to left
3. left and came back into the world
4. Note: can't seem to reproduce it my second PC.
It may be our old computer, but if you could look into it that would be great.