It's really really hard to say what the right thing is. It's a new car. New design, based of the fiat punto chassis after several rounds of being reworked, engineered across at least three continents. Who knows? what's intolerable for you?
Do you care about number of problems, or cost to keep it running?
If you look at the honda jazz (aka the EU version of the fit) and the punto (aka. the parent vehicle for the 500l which is the parent chaassis of the renegade and 500x), the incident rate is about double that for the jazz with the gap widening at years 6-7.
This car won't be that car though, and who knows what the total cost was? By the same token, you can ask about "recent" jeeps, and people will tell you about the TPIM issues that plagued chrysler cars. Ask people about subarus and they'll tell you they are reliable. I have one, yeah it hasn't left me stranded, but it has a designed in wheel bearing problem. Even with the "recall" for them all they did was replace them free until you hit 8 years or 100k miles. That leaves me paying for it at least once out of pocket at $800. Changing the plugs requires an engine hoist or jack and a lift. So they cost $500. The jeep transverse 4 in the patrio is the cost of plugs in the driveway. At a bit over 100k on the odometer I will have paid $1000 for spark plugs. This is not considered and incident. But the car will cost me about $1800 on stuff I probably wouldn't have to shell out on a jeep vs. the jeep TPIM at about $1200 which doesn't have an analogous issue in my subaru. At the time I bought my car, subaru was the top rated brand for reliability, but it is costing me the same or more than one that was below the industry average to maintain and I'm not having any unusual problems with it. Most issues I've had are shared by many, many other legacy owners of the same model year(s).
The real answer is that you lease accepting the idea that you will pay a little more if you choose to buy it out, or you turn it in and suffer the general costs of a lease. Or you buy and roll the dice, just like every other new or mostly new parts model. Or you wit a year or two to buy in and see what happened to the early adopters.
The one caveat to that is if Jeep offers insane leasing deals to move units and hit their numbers. Then the answer may just be lease on those beneficial terms and decide later to stay or not. Around here they offered some truly insane grand cherokee leases the last couple of years where paying off the residual plus payments made was on par with negotiating a purchase price the equivalent of invoice discounted by most, if not all, of dealer holdback. Your real out of pocket over buying was going to be whatever you got hit with for GAP insurance.
