What could this PCB be for?
Note the relatively heavy trace along the right side of the second image, and the fact that there's no ground plane on the other side in that area. That's an antenna. Note also several spiral coils elsewhere on both sides of the board.
This is an RF remote control of some sort.
The 8-pin chip may well be a serial EEPROM of some sort. The larger chip is probably a custom ASIC, although there's some chance that it might be a relatively general-purpose MCU with RF hardware built-in.