OpenCL option not available in Blender 2.78c running on Ubuntu 17.04 Dedicated GPU: AMD Radeon R5 M330 (HAINAN), Drivers: radeon + Mesa 17.2.0 obtained from the padoka PPA.
Blender Version 2.78c downloaded from blender.org


Tried running with DRI_PRIME=1, running as root, and both at the same time, but none of those worked.

OpenCL rendering with this GPU works on Windows 10 so I am sure my GPU is supported.
As of march 2017 GCN 1.0 is no longer supported for gpu rendering.
Because the R5 M330 is using that architecture you won't be able to use it anymore in blender.



Sources:


https://wiki.blender.org/index.php/Dev:Source/Render/Cycles/OpenCL#Current_issues_and_limitations
https://en.wikipedia.org/wiki/AMD_Radeon_RX_300_series#Mobile_products