What is the reward for defeating all 17 Cyberpsychos?
Not sure if this in new to patch 1.23 (I had to wait for "Where the Bodies Hit the Floor" to be fixed), you get a couple pieces of legendary clothing: Trauma Team Armor Weave Tactical Vest and a Decadencia Verde Tactical Armor-Weave Pants. They are easy to miss, on the floor of her office in a flat case.
There is no in game reward beyond the eddies you make while completing these missions for Regina. There is also no follow up mission once you have completed all of them like there are with some of the missions in game. You will get between 1000 and 3000 eddies per mission you complete.
Once all of the cyber psycho sighting missions have been completed you will earn the achievement "I am the law".