For tools with separate battery charger (not usb charger), like the one for the 8220:
Keep in mind if the charger detects the battery is fully charged, the indicator lights on the charger may cycle through quickly and it will look like your battery is not charging. To check that, take your tool back out of the charger, turn it on and see what color the fuel gauge light is. If it is green, you are good to go. The tool does not need any charging. On the charger itself, there is nothing that will light up. All of those signals will show up on the tool. When the battery terminals in the tool make contact with the charger, the tool will evaluate the state of the battery. If charging is necessary, so the battery can accept any charge at all, the blue lights on the tool that indicated speed will scroll while the tool is accepting a charge. If the battery is too hot or cold, the tool will not charge immediately, but will reevaluate and when the tool gets to the proper temperature, charging will begin.
For tools with a USB charger (like Lite (7760)):
While the tool is charging, you will see the indicator in the tool lightened up. Once this light is off, the battery is charged: