You may need to change the battery, see other answers but try a factory reset, while keeping it on the charger press and hold the side button for a minute or so until you see the LG logo then let go, it may then do a reboot. If not - when you get the LG logo swipe from 11 to 3 and you may get a 'bios screen' at that point press the 0 symbol at the bottom of the screen. Odds on it will require a replacement battery I think.
http://www.fonejoy.com/genuine-lg-w150-urbane-watch-bl-s3-410mah-battery-eac62618501.html Had the same problem and yes I bought a new cradle too. The link supplies a replacement battery with carriage for about £21. You need Torx 4 bit and follow the tear down. Getting the band off was the worst bit, go very carefully with taking the connectors off but otherwise Ok. Just done mine and is now charging up fine. On arrival the new battery had 30% charge. Recommend the Ifix tool kit for jobs like this! PS don't worry whether it's an LG Watch R or an Urbane they both use the same battery.