Yes. That is normal.
Timing chains have either a single or a double chain (duplex). The timing chain has at least 20 sprockets, and a tensioner. All of these parts do wear out and cause problems. Some timing chains are made of rubber and others are made of solid metal. The rubber ones usually have a recommended life, i.e. 50,000 miles. One problem is that if a timing chain breaks the valves or hits pistons, it will cost a fortune to fix. Another problem after changing a timing chain is if the gears weren't lined up when it was put on, or the tension was wrong on the timing belt. Usually there should be no more than a total of 1 inch of play. I don't know if the Chrysler has a rubber timing chain or metal, or what it would cost to replace the timing chain on this vehicle.
Timing chain assemblies don't give out like they used to back in the 60's and 70's when they used plastic coated aluminum sprockets. You could check for excessive play in the chain by moving the vibration damper back and forth by hand to determine how much slop there is in the chain (engine off of course). A little play is normal. If the chain jumped and you were somehow able to get the engine to run it would be powerless. A compression test would yield poor results across the board.
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