I suppose it might be possible, if SO2 is initially attacked by chlorine, it might initially form the intermediate radical ClSO2• which could then
oxidize chlorine. But then it would result in the isomer ClSO2Cl, which I do not think would be very chemically stable. If this intermediate species
was able to react with chlorine, I would think it would have to simultaneously react with a Cl2 molecule through an intermolecular resonance, such
that the hypochlorite group would simultaneously break off and bond to one of the chlorine atoms at the same time. Again, I find all this very
unlikely, but if this reaction can proceed, this is the best explanation I can think of.
Another unlikely possibility is that SO2Cl2 could oxidize excess Cl2 to Cl2O, but if this were possible one would think SO3 could also oxidize
chlorine (although this might produce something more complicated than Cl2O because SO3 is such a strong Lewis acid)
-OSO2-O-Cl+-Cl
|