LG Display's OLED unit is currently mostly focused on OLED TV production, but the company also has plans to enter the small OLED display market with its flexible plastic-based OLED panels. According to reports, LGD is stepping up its effort to market OLED panels for Chinese phone makers.
LGD currently mostly makes small flexible OLEDs for wearables (such as Apple's Watch and LG's own Watch Urbane 2). LG makes a single handset flexible OLED, the curved 5.5" FHD panel adopted in the company's own G Flex 2 - but this was never really a mass produced device. LGD is also said to be developing a smartphone display that curves around the edges (a-la the GS6 edge)