It's a pretty neat song and I think this is pretty close. Played in D standard tuning 
(D, G, C, F, A, D).
C            Am        F              C
Once upon a time, when I was in high school
C                         Am          F             C
I was in love with you, lady and you treated me so cool.
C       Am      F       C
I was drivin' a Chevy '72
C              Am             F                    C
had 4 on the floor, girl, a hundred 20 it would do
G                  Am                         C
I remember Marvin Gaye, singin', What's Goin On?
C              Am        F                 C
There was a war, baby, somewhere across the sea
C                      Am                 F                    C
I don't wanna go and fight, girl, 'cause you were really lovin' me.
C                       Am                          F
I remember Martin Luther King, lord he was the man, babe
                   C
that gave us all a dream.
G                       Am                    C
I remember Marvin Gaye, singin', What's Goin On...
                   Am
Don't play with my love no,
G                       Am                    C
https://www.coveralia.com/acordes/once-upon-a-time-the-gaslight-anthem.php
I remember Marvin Gaye, singin', What's Goin On.
C           Am        F             C
We used to have sweet music in the park
C           Am           F                    C
Lord up at Monterrey straight down to the melody park
C            Am        F          C
You used to wear girl, them hot pants
C                           Am           F              C
When you strolled down the hall, all the boys wanted a chance...
G                 Am                          C
I remember Marvin Gaye, singin', What's Goin On...
                         Am
Don't play with my love, no...
G                 Am                                C
I remember Otis Redding, Sittin' at the Dock of the Bay---
             Am
but then he went away..
G                 Am                            C
I remember Sam Cooke ya'll, Bring It On Home To Me,
                          Am
from your love I can't be free...
G                 Am                         C
I remember Elvis Presley, and them Blue Suede Shoes
                   Am
lord they gave me the blues.
G                 Am                           C
I remember Marvin Gaye, singin'...Let's get it on