Luminesca has just been updated to version 0.1.3, which you can download from the same place you purchased it (Desura, Indievania or direct download).
This patch fixes the bug which prevented some players from finishing Chapter 1 and adds a few small changes. You can view the full list of changes here.
I was working on adding some substantial 'story content' but decided it would be better to just get this bug fixed as soon as possible. There will be another (bigger) update to Chapter 1 in the next week or so before I move on to Chapter 2.
Also, Linux support is coming very soon!