Belt :)
All Vauxhall 2.2 petrol engines in Astra and Zafira have a chain. The Sintra and the Omega are belt driven as they were fitted with what was in effect a bored out version of the X20XEV which was belt driven.
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You don't say what year your motor is,but assuming this is the Z22SE engine,it will have a chain.(Check engine options in owner's handbook)Don't think there are any variations on 2.2 petrols,so you should be ok.
There is no set replacement interval. It should be replaced when it becomes noisy. Failure to maintain the correct oil level, change the oil at recommended intervals or use the correct grade of oil can dramatically reduce the life of the chain.
timing chain
It has a chain that requires no maintenance.
The 3.8 L - V6 engine has 1 timing chain
Burning oil-No relation. Leaking oil on hot surfaces because of incorrectly installion of gaskets-yes.
2013 Hyundai Elantra SE Coupe 1.8 L engine has a chain.
it has a timing belt
No, it has a chain. long Chain with Hydraulic (problematic) Tensioners
If it's Z20LET then yes it has a cam-belt as opposed to a chain and think recommend changing every 36000 miles or so