Troubleshooting a wireless Logitech mouse involves moving progressively through different steps, such as changing batteries, changing the USB port or uninstalling/reinstalling the driver software. Many issues can be resolved with simple fixes, but if a component such as the mouse's LED is malfunctioning, the mouse needs replacing.
If the wireless mouse intermittently stops working or the LED goes out, it could mean the batteries need replacing, as the simplest solution. Use a small knife or screwdriver to pry up the mouse cover. Many wireless mice use AAA batteries. Remove and replace the batteries. If this fails, move to the next step.
Unplug and replug the USB receiver for the mouse. Optionally, try using a different USB port if one is available. USB ports have different bandwidths and priorities, so the wireless mouse signal may be more likely to travel successfully.
Many USB devices are plug-and-play, with no manual driver installation necessary. It is possible, however, to reset the device driver. Hold the Windows key and press R to bring up the Run menu, and type "Control Panel". Use the Tab key to navigate to Device Manager and press Enter. Navigate to Mice and Other Pointing Devices, open the page for the mouse and select Disable Driver. Then, select Enable Driver.