The live version of "Tommy the Cat" is performed with "The Awakening" in the middle. The original song was by The Reddings from their 1980 album The Awakening, and had previously been covered by Les Claypool and the Holy Mackerel on their album Highball with the Devil.
In his review for Allmusic, Stephen Thomas Erlewine describes the EP as "another small treasure for fans." He notes that "the band hasn't chosen any surprising covers" but "makes up for it with great performances" and "startling arrangements that are often unpredictable", concluding that "it doesn't disappoint." For Pitchfork Media, Susan Moll notes that "while Brian "Brain" Mantia's heavy-hitting drums were the focus of The Brown Album, Rhinoplasty marks a return to the vintage Primus sound, with Claypool's bass front and center, where it belongs." She also opines that "the band's version of "Making Plans For Nigel" is legendary, but their take on "Scissor Man" is more deranged than Andy Partridge on a bad day."