CICADA Australia Inc. began in 1984 as a support organization in NSW to help new cochlear implantees. At the time there were only 12 implantees. Implant surgeon Prof. Bill Gibson came up with the name intending that it should stand for “Cochlear Implant Club and Deafness Association”. However none of the newly implanted people felt they were still deaf, so a compromise was reached. The title later came to stand for “Cochlear Implant Club and ADvisory Association”.
As cochlear implants make things louder (in a very crude sense) and cicadas are among the noisiest insects in the world, I think there is a definite case to be made for a post hoc connection.