As I work in the woods and have had to use chains on a regular basis I can offer the following thoughts (I live in Canada eh, it always snows here ):
With chains on the front, you could get the chains caught on suspension parts, brake lines, etc as the wheels turn from side to side, especially as they reach their limits (not to mention body damage :sniff: ). Also, on braking, more likely to swap ends (or have the rear swing around a lot) as the fronts will have the way superior traction. Only good thing with chains on the front is the traction to pull instead of push, like a front drive car.
I know quite few guys who will put chains on, then run the vehicle in 2WD and only put in 4WD when they need the extra traction for steering. Helps to keep the transfer case form binding up. Do not forget that putting chains on makes the actual tire circumference larger at that end then the other. Of course, we are talking about driving long distances with chains on (10-20 km) to get to our work sites, not using them for short distances to get unstuck. Then sometimes the front is the only option .
Goes without saying, just use care and common sense. Try the chains dry, in your driveway and see what clearance issues you may have. Oh, chains work well in mud too!