"Cut Your Ribbon" garnered a positive reception from music critics applauding the band's musicianship and Jim Ward's abilities as lead singer.
Pitchfork writer Eric Carr said that the song was "simply splintering, power-hungry rock, showcasing the record's most memorable vocals.
"[1] Reviewing the album, Steve Appleford of Rolling Stone felt the track "comes closest to the desperate noise of ATDI, with guitarist turned singer Jim Ward nailing a fine, furious scream.
"[3] Jason Jackowiak of Splendid described it as "a dynamic call-to-arms that piercingly and intrepidly proclaims Sparta's aural aesthetic.
It's brash yet tuneful, angular yet accessible, fiercely experimental yet grounded in the lessons of their punk rock youth.