If I were you, I would carefully desolder the HA1392 chip from the board, clean off the old, probably dried up heat sink compound, clean off all the corrosion from the pins, and reinstall with fresh heat sink compound. Audio that is unreliable and or cuts off after some time in operation could be from unreliable connection (corrosion) or from the chip over-heating from poor heat transfer to the cooling radiator. If you decide to do this, on reinstallation, first install the chip onto the heatsink with the tab screw to fix it in place, then install the heatsink and fasten it (if it is fixed in place with fasteners) and lastly, solder the pins in place. If you solder the pins before installing the heatsink, you'll risk the tab not being tight against the heatsink, or the screw tweaking the chip when torqued down. Also careful examination of solder pads should be performed or just touch up all of them.