It's not hard to understand. But it's not about the clock test. It's whether actual passage through time is distorted at light speed.
Near-light actually. Can't travel at light speed since mass becomes infinite, as does the energy requirement. Best you can hope for is near-light speed.
Time isn't a constant. Velocity affects it, as does gravity. They've discovered that even standing here on Earth, due to gravitational effects, our feet age faster than our heads because our feet are closer to the center of the Earth and thus have a slightly stronger pull of gravity.
Thinking about this last night trying to sleep (as I feared I would) I found myself wondering about what you'd see if havng a videoconference with someone on Earth, and astronauts in a ship travelling near-C? After the time delay for the signal to get back to Earth which might be considerable, would the astronauts appear normal to people on Earth or would they seem to be moving slowly? The astronauts would think they're moving at normal speed, but to us back on Earth they should appear frozen (or very nearly) right?