Time interval quantized?
We deal with time-of-flight issues in large components by making them up of transmission lines, and then seeing what happens when we launch steps into them.
It is certainly the case that if we take a length of open circuit transmission line, and apply a current step to one end, then the voltage will immediately jump to Z0.I, where Z0 is the line impedance, while a voltage wave and current wave get launched into the line.
These waves travel the length of the line. Finding an open circuit that can't support a current, they get reflected with the current in antiphase, the voltage in phase, with the voltage at the far end rising to 2Z0.I.
These reflected waves eventually reach the sending end. A current source is an open circuit, so the same sort of reflection happens, and a voltage and current now wave head off down the line again. The sending end rises to a voltage of 3Z0.I.
This continues indefinitely. You can see how we can derive the capacitive behaviour of an open circuit line, as the voltage is rising by a step of Z0.I per transit of the line length, that is, linearly in time due to the continuous inflow of current.
In practice, the transmission line making a capacitor will not be lossless, and the shape tends to be two dimensional. The first tends to smear out the steps, the second overlays small steps at multiple delays, tending to smear out the steps. Along with the very small time scale for practical capacitors, this means the stepped voltage response is rarely seen in practice, and rarely troubles circuit designers.
In the specific case of good quality one dimensional transmission line like coax, or microstrip on PCB, this stepped response is very visible. We can make pulse-forming networks from lengths of transmission line, and have to be careful with long PCB traces that we can drive logic gate inputs to clean levels.