My CB350 had a 400 tire on the rear and it would hit the fender when going over hard bumps. If I had kept it I would have installed the smaller tire. Your CL may have a bit more clearance, I don't know.
In general, a wide tire on a skinny rim will keep the bead seated better than a skinny tire on a wide rim. So I doubt you'd have any trouble physically getting the tire on the rim. Whether or not it'll rub the swingarm or fender, I don't know.
Is it safe to assume you are asking this question because you are considering one of those shitty firestone tires and don't want to say? Because if you are, besides being shitty they are taller than modern tires and will pretty much rub everything.