LG has filed for three trademarks for some new product names. All of the trademarks have to do with smartphones, and wearable mobile phones are called out in the description. The trademarks are for G Flex Frame, F Frame, and G Frame.
The applications were all field with the USPTO a few days ago. Presumably, the G Frame and F Frame will be for new smartphones. In the past LG has field trademarks on the G Prime and F Prime smartphone series.
As with any trademark or patent, there is no guarantee that these devices will ever come to market. Who knows what the G Flex Frame device might be.
Those names sound a bit like wearable devices to me, but I could be wrong. The frame in the name makes me think of smartglasses. Only time will tell what these devices are and if they are actually coming to market.