If the lights continue to blink for more than 5 minutes remove and reconnect the display. If your nest thermostat will turn on but you cant control it or its acting sluggish try manually restarting it and turn the thermostat off and then back on again.

You Can T Disable The Status Light On Your Nest Cameras
Blinking green light nest. A blinking green light near the top of your nest thermostats dispaly means that its updating the software starting up or restarting. During this process the display will restart which usually only takes 1 2 minutes. Green light has always been used to indicate that everything is good and the same is with the nest camera blinking green. If the light is still blinking after reconnecting the device restart it by holding down the thermostat ring for 10 seconds. I should make a slight correction. Typically this will only last a minute or two.
A blinking green light near the top of your nest thermostats display means that its updating the software starting up or restarting. A blinking green light will appear if the nest is turning on restarting or updating. What does green blinking light on nest mean. If your nest camera is blinking green then you should know that your nest cam is working properly and is connected to the internet and you can watch the live video feed. Hold down the ring for 15 seconds nothing. If it takes much longer time check to make sure the display is correctly connected to the thermostat base.
A small flashing green light on the nest thermostat display usually means that its updating software. Typically this will only last a minute or two. When unplugged it blinks yellow when plugged in it is a solid green light. Give it a few minutes and then remove reconnect it nothing. Nest camera blinking blue. When trying to connect the nest yale lock with it plugged in as well as when it is.
But if this continues for longer than a few minutes see the article below for more troubleshooting. It should automatically turn on when finished. About 10 minutes later blinky green light and unit in unresponsive. Battery is too low to start. Your thermostat has a green blinking light if a green blinking light suddenly appears it just means that your nest is automatically updating its software. If your nest thermostat is off and wont turn on take the thermostat off the base and charge it using a usb cord plugged into a wall charger or a computer.
Removed it reconnected it to the pc and it wakes up again.