I did a brake job on the Accord over the long weekend. One of the two slide pins on each caliper has a rubber bushing at the tip. One bushing was swollen and kept sliding off in the bore, so I chucked it and inserted that pin naked. I drove the car over the next few days and felt an intermittent rubbing/clicking through the brake pedal. I picked up a new bushing after reading it is there to dampen possible brake NVH. After installing the new bushing and re-lubing the pin, the clicking's gone.