Mmm. And he tried exactly what I thought he would.
They sealed the exits and chased after him, and I followed along and directed them as best I could using the blueprints of the clocktower - ahh, I wasn't in the building myself, I flew down with Megure-keibu from Beika and directed things from the helicopter.
Things got a little strange at one point - Kid discarded his uniform, and Nakamori directed everyone to the floor he was supposedly on. But the clock struck midnight, and after a brief . . . "display" of smoke, I guess, the clocktower's hands "disappeared".