First of all, why the heck would you even do this,
start with aluminum, oxidize it with chlorine then reduce it back to aluminum, OMG...
At any rate, electrolysis of AlCl3 has to be done at molten state (you CANNOT electrolyse aqueous AlCl3).
AlCl3 is hard to melt without evaporating it at the same time, so you prolly need either to control the temperature acrefully, adding some flux, or doing it under pressure or a comination of those.
On and alstly when you mix HCl (aq) with Al, even after evaporating it CAREFULLY, you'll still get AlCl3.xH2O and if you keep heating it up you'll end up with hydrolisi reaction so you get a mix of Al(OH)xCly.zH2O (still!).
One way to make anhydrous AlCl3 is by reacting Al with DRY HCl.