System Information
Operating system: Windows 10
Graphics card: 1060

Blender Version
Broken: 2.8
Hash: a205493426b
Date: 2018-12-03 00:27

While editing a simple extruded oval, I press / to enter "User Perspective (Local)". When I select a vertex and hit e or g, the geometry disappears.

To recreate: open blend file. Hit / to enter local mode. Click vertex. Hit g.