Kill Uncle was recorded when Morrissey was in a transitional phase. He had parted ways with producer Stephen Street but had not yet started working with his future long-term team of guitarists Alain Whyte and Boz Boorer. As such, the album, produced by Clive Langer and Alan Winstanley with most music written and guitar work done by Fairground Attraction's Mark E. Nevin, presents Morrissey singing to an unfamiliar style of music.
On "Our Frank", Morrissey's lyrics describe "frank and open, deep conversations" that get him nowhere and leave him disheartened. The final verse, however, sees Morrissey singing "Won't somebody stop me from thinking? From thinking all the time. So deeply, so bleakly ...", which critic David Thompson interprets as indicating that the conversations he so dreads are in fact with himself. The song features some uncharacteristic production for the singer, with Morrissey's voice being overdubbed and echoed.
"Asian Rut" is a tale about the murder of an Asian by three English boys in which Morrissey's vocals are backed only by strings and bass, plus sound effects, lending an eerie quality to the sombre narrative. The song continues the tradition of Morrissey examining English racism from a unique angle, first established with "Bengali in Platforms" on Viva Hate.
"Sing Your Life", the third track on the album, features a drum loop which, featuring bass drums and toms but no snare drums, repeats itself throughout the track. The strings from the first two tracks are present in the song as well, and they rise and fall in a fashion similar to "Our Frank". The song has Morrissey instructing the listener on how to make a song, as he sings, "Walk right up to the microphone and name all the things you love, all the things you loathe." A rockabilly version of the song also exists, recorded live at KROQ in Los Angeles after Morrissey started working with new guitarists Boz Boorer and Alain Whyte.
"Mute Witness", the fourth track, features piano backing composed by Clive Langer. The song is a somewhat farcical tale of an attempt to get information out of a witness who cannot speak at a trial.