Wikipedia talks a little about the Gibson/Burroughs connection on the Burroughs page, and Gibson mentions Burroughs several times in his blog. I found a few references to Gibson and cut-up work on these pages:

:: The intro to "Academy Leader", presumably written by the editors points out the allusions to William Burroughs and his cut-up techniques in the piece, along with the references to how Gibson coined the term "cyberspace".

www.skierpage.com/gibson/biblio.htm

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Interview with Gibson ::: Darren Wershler-Henry: (Producing a copy of the Whole Earth Review, Summer 1989: "Is The Body Obsolete?") Have you seen this? It's a collection of a whole bunch of different things that seem to crystallize around your work: theories of the body, information theory; there's a piece on Survival Research Laboratories [6], a list of the major influences on cyberpunk writers, and (pointing out the interview entitled "Cyberpunk Era") they even did a [William] Burroughs-style cut-up of your old interviews.

William Gibson: No... show it to me. (To Tom Maddox) Have you seen this? This is really bizarre. I wouldn't give them an interview so they cut up a bunch of old interviews.

www.eff.org/Misc/Publica...dox.interview

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Intro to an interview with Gibson ::: A number of critics pointed out Gibson's affinities with certain earlier innovative SF authors: comparisons were made with Alfred Bester's early novels, Philip Dick's mid-period fiction, and Delany's Nova; his reliance on the cut-up methods and use of quick-fire stream of dissociated images that one associates with William Burroughs and J.G. Ballard were noted.

www.mississippireview.com/1996/...s.html

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I recommend posting this question on the discussion board on Gibson's website:

williamgibsonboard.com/6/ubb.x