What is the green light for on the rear of NHRA Pro stock cars?

Never noticed that.
Watch the final round of the pro stock Callout from Route 66. in the Right Lane on Greg Anderson's car it has it.

The youtube version cuts out the Front of staging / Timing tower Camera angles so I was only able to see it on the Fox brodact version of the show. I have seen it at other times this year as well.

in Imsa the Rear facing Green Light indicates an Ameturr driver, but I bet I has a different meaning In NHRA Pro Stock as the light seems to go on an off during the staging process.

Maybe it means the clutch pedal is fully depressed?