I spoke to the developer of We Happy Few on twitter to get an update on the Linux version, it seems it has been pushed back.
Originally they said that the Linux version would be available during Early Access, but now it will be later:
@gamingonlinux Shortly acter the final release of the game :)— Compulsion Games (@CompulsionGames) September 10, 2016
A real shame that it's coming out later than previously stated, but still great that it's coming. Looking forward to it, as it looks bonkers.
About the game
We Happy Few is the tale of a plucky bunch of moderately terrible people trying to escape from a lifetime of cheerful denial in the city of Wellington Wells. Set in a drug-fuelled, retrofuturistic city in an alternative 1960s England, you’ll have to blend in with its other inhabitants, who don’t take kindly to people who don’t abide by their not-so-normal rules.