I put on Norse "Super Tractor" chains, have had great results. Mine are on R1s, you may need wheel spacers to use chains on R4s.
I'm no expert on this, but I'm thinking a lot of you guys may have them on way too tight. According to the literature that came with my chains, they should move around the tire from 30-50 cm per kilometre driven, or from 1-1.5 feet for every .6 mile you travel. They say the side chains should be loose enough that you can "easily slide a clenched fist between the side chain and the tire". They warn against too tight an installation, which will cause rapid chain wear and possible tire damage.
Mine aren't overly rough on pavement, having them loose allows them to flex with the tire. No hopping or jumping of the tractor as the wheels turn, just a jingling sound and slight vibration caused by the studs.
Most the tractor tires I've seen with chains on over the years are like this, they actually hang away from the tire slightly on the bottom. Mine work great, as I mentioned, there's definitely no slippage on the tire when pushing hard, other than rotating around the tire as you drive over time. What happens is that the tight portions on the top of the tire drop in front of the lugs and pull the rest of the chain set with them. I only have them on the rears, no need so far for anything more.
Pushing snow definitely calls for brake steering in heavy stuff, with that much weight in front of the bucket the front tires don't take enough weight to steer the tractor well.
I'm not trying to say you guys are totally wrong here, just saying there's another school of thought that says something different. The fact that it came from the chain manufacturer was what made me sit up and take notice. I asked the dealer about the bungees, etc in the center of the wheel when I got them. He said they weren't necessary "if the chains were the right size for the tire", and specifically said they should be "fairly loose, not so loose they constantly pound on the fenders, but enough that they could move around a bit". This ties in with what Norse recommends.
They very occasionally touch the fenders, a dull tap noise, I think it's the "boomers" (the tensioning levers) as they swing out as the tire turns. I can't see any sign of damage, the actual studded portions definitely aren't touching.
Chilly