This car looks good.
The timing chain should last the life of the car. A lot other parts would break well before the chain. If it's ever stretched and loose, you would hear a lot of rattling and engine would run very rough especially at high RPMs.
I have a Celica GTS Auto with 335K miles all original. The engine, transmission and the whole car still run smooth and strong, no major problems so far, routinely cruise at triple digits on long trips.
Overheating is the worst scenario which can damage the engine. Check engine temp gauge occasionally when you five, and every time you raise the hood, check coolant level and any signs of coolant leakage, and replace any hoses with leaks. You don't want to overheat the engine on the road. That said, mine overheated 3 times due to broken serpentine belt, and broken coolant hoses, engine still runs smooth and strong.
Check oil level and add when low. Flush engine with Motor Medic GUNK to clean any carbon deposits and sludge to improve compression and lubrication. Engine will run better and last longer.