The song reached No. 55 on the UK Singles Chart[4] despite considerable airplay.[5] Guitarist Mike Herbage later described the song as "an aggressive, trance and beat driven track"[5] but expressed surprise at the fact that it charted at all, calling its placing "probably higher than it had any right to, really". Vocalist Vaughn Toulouse was a bit more positive, saying, "I think 'I Want' and 'Going Left Right' are ... really representative of the band".[5] In a later interview, Herbage admitted that "Going Left Right" and third single "I Want" were both "very strong tracks" and added, "we worked so hard on '[Going Left Right]'"[5]
Retrospective reviews for the song were universally positive. Paolo Hewitt of Melody Maker said that it and "I Want" were "far superior" to "Is Vic There?",[5] Mimi von Tussle of Sputnikmusic called it "always a crowd-pleaser" and "sublime",[6] while Leonard's Lair said that it "matched 'Is Vic There?' for swagger and military precision".[7] Dave Thompson of AllMusic said that it "stands among the finest songs of the entire post-punk early '80s".[8]
