F.lux 22.0 beta from Google Play store works with Lineage OS
F.lux 22.0 beta from Google Play store works perfectly with my rooted Moto G 1 and Moto G 3. Both devices run the latest official Lineage OS 7.1.1 (as per 30th of March 2017).
• F.lux only works with Composer as the colour driver.
• Location works.
• All other settings work (as far as I know, I can't test for AMOLED)
Since Lineage OS basically is the same ROM for all devices f.lux 22.0 should work on these.
F.lux needs root privileges and Lineage OS is unrooted by default. SU for Lineage OS can be found here.