Just a tip, but 4x4s like our Compasses and others, they can give the driver more confidence on snow but they also give some drivers over confidence. (I started driving 4x4s when I was 12 on a ranch, and that was when Matt Dillon was the Sheriff... and now that I am an old codger, I still drive like a "little old lady" on snow covered roads, because we typically have black ice on the roads under the snow.)
I have a 2012 GMC 2500HD with very aggressive tread on the tires AND I also have snow chains for it. In the 6 years I've owned it (and previously a 4x4 Chevy Silverado) I have lost count of how many times I've pulled 4x4 SUVs out of snow banks, out of the toolies and on several occasions had to call state highway patrols and or first responders (typically overwhelmed) because drivers flipped, rolled, slid off the road or crashed into other vehicles and had serious injuries (I guess I could post pictures if anyone is interested of my "heroic efforts
" of using a very large GMC pulling small SUVs out of bad snowy roads. I keep bags of water softener salt in the back of my GMC to add weight to the rear and occasionally to de-ice parts of our entrance to highways on two ranches we have.
My wife is driving up north in her Grand Cherokee for Christmas and I'm ordering chains for her Jeep. We are told there is a chance of snow, and I'll be driving up her way the day after, not in my Trailhawk, but the GMC because I already have chains for it, and I'lprobably be the only guy in a Santa Suit offering to pull folks out of bar ditches.
Check sources near you or online (I just did) and was impressed that show chains for the Jeep Compass with the smaller tire/wheel (compared to my GMC) are fairly affordable. Your Compass probably comes with M/S tires and might be 215/65R17. but look at your particual tire and verify.