If you have an LG G Watch R and willing to do some work on the software , user Tsssadar from XDA found a way to enable the WiFi chip on the device.
Using drivers from the LG Watch Urbane , along with the help of user IntersectRaven they put up together a flashable zip for those who are willing to try it.
All you need is the 5.1.1 Android update , TWRP , an unlocked bootloader and patience.
The developer also warns out that this makes OTA updates unavailable , so have a stock image ready to restore when the next Android update rolls out if you want to get it via OTA.
If you want to try it out check out the link over XDA and flash the files available.