The chains add quite a bit to the diameter and width, so if your tires are "close" to rubbing, you'll have a bit of an issue and chains will do much much much more damage to whatever it rubs against than a tire would.

With that said... just throw the chains in your XK so you comply with the "must have" requirement. If its bad enough where the XK needs chains, then throw them on the back tires; seriously, if its that bad of conditions you'll be going so slow and the ground will be so slick that it won't make a difference.