My 2016 Disco Sport timing chain also broke. Mine snapped at 104K miles, which was just outside of the 100K extended warranty that I purchased when I bought the car. I contacted Land Rover and they said it could take several months to get a resolution. I had my trusted mechanic locate a good Evoque engine with 35K on it for $8,250 including pulling the old engine and fully installing the replacement one. I contacted Land Rover again and sent them the photos of the engine, broken timing chain, VIN, etc. After about 3-months they said Land Rover would pay $8,200 toward a new engine installed from a LR dealership. Total cost would be $26K with an $8.2K credit which would be $16K out of pocket for me. I told them no way and I would be looking at alternatives for reimbursement from them.
About 3-weeks after my engine replacement, my mechanic had another customer report a broken Disco Sport timing chain. Obviously the vehicles are cheaply built and they skimp on components anywhere they can to make a profit. Anyone have any suggestions on my next step? Thanks!