Deconstruction is one type of literary theory. Basically, it is one method that you can use to analyse any text. Deconstruction was at its peak in the 1960s, so I might suggest choosing a work from that era. Many poems by Lawrence Ferlinghetti lend themselves well to deconstruction. If you would like to learn more about deconstruction, read the works of Jacques Derrida, specifically "Of Grammatology". You might want to read an overview of the work first. It is challenging. The films of Jean Luc Goddard are also made to be deconstructed. Also, consider the art of Andy Warhol.