In view C, the speed of light is still the same finite constant, c=29992458 m/s, so the clock is not actually running slow at all in that reference frame. The time is just 0.87 at that moment, in that frame. You describe it as if the clock is running slow, and the person's biological clock also running slow by the same factor, but that is basically what the reference frame of view B would say. But if you are the person in view C, you would say the clock is not moving at all, but rather the "other" clock is moving at v=-0.5c, and that the "other" clock is the one running at a slower rate, (with "other" meaning the clock shown in view A). It is a minor difference, but I think it is important, because you almost make it sound like there is an absolute rest frame, and clocks moving relative to that frame run slow, but people co-moving with those clocks are just unable to realise that they are running slow. On the contrary, these effects are all due to relative motion, not absolute motion.