[8] The first single to be taken from the record was the title-track which came out on October 13, accompanied by a music video directed by band member Jessie Ward.

Veneer was well received by critics upon it release, with many reviewers comparing it favorably to the band's debut album Cursing the Sea.

Lisa Wright of NME stated "Where September Girls' debut earmarked them as the latest addition to the Dum Dum Girls/Vivian Girls school of Phil Spector worship, 'Veneer' finds the Irish quintet throwing off the '60s girl-group coyness in favour of something fiercer.

"[11] While Chris Buckle of The Skinny (magazine) said "Eleven months after debut album Cursing the Sea established a September Girls-sound hewn from heavy reverb, fuzzy melodies and a moody noir complexion, Veneer steers the Dublin quintet into marginally darker and more turbulent waters.

"[12] The E.P also received positive reviews from the group's native city with Irish music critic Stephen White of The Last Mixed Tape stating that "September Girls are a band defined by their individuality and commitment to never staying in the same spot sonically or stylistically.