In electrolytic cell, positive terminal of battery is connected to anode and negative terminal I connected to cathode. Flow of electron is opposite to flow current. Hence flow of electrons is from anode to cathode (ref. figure). Electrons lost at anode flows through the circuit and reaches cathode. The cation moves towards cathode to gain these electrons and formed product. On the other end, anion moves towards anode to lose electrons. This makes a circuit complete, as there is continuous flow of electrons. This is how conduction happens in electrolytic cell.