Honestly...your idle sounds a bit low.
Look for a loose oil cap or dipstick. They will cause a vacuum leak and cause the car to be confused about idle.
NOW I hear something else in that video when you move the camera to the back.
Hmm, that sounds like the timing chain making noise. If you can put your hand on the left side of the engine, away from the Ecotec cover, and feel for something knocking against the cover, that will help isolate the noise. Try a paper towel tube or pipe of some sort and poke around parts of the engine with it to your ear. This will help you isolate exactly where the noise is coming from.
I had an oil change done at the dealer 2 days ago and I always check my oil after. I rechecked the oil for a leak. Oil is clean and full.
2012 ECO MT - Black Granite/Cloth; 814 mile range; Bluetooth Stereo AUX; OEM Fogs w/Chrome Covers; GM Spare tire; VG Shark Fin; Rostra Lumbar Support
2010 Mit Lancer GT MT (traded for ECO @31K miles)
2002 Pont Montana AWD (traded for 2012 LS @182K miles)
1990 Pont Transport (traded for Montana @240K miles)
1986 Fiero GT MT (traded for Transport - needed more seats)
1985 Fiero 2M4 MT (traded for Fiero GT @8K miles)
It was 10*F when I started my Eco this morning after sitting in similar weather all night. The engine made a lot of ticking noises. Injectors, lifters, it sounded like a bunch of marbles rattling around in there. The cacophony subsided as the engine warmed up. Later when it was warmed up, it was its usual silent self.
It's not unique to this engine either. Our Fit's lifters can be heard from 30 feet away on a very cold morning. That car is also running the recommended full synthetic 0w-20, so it has enough oil pressure and flow.
My brother's minivan with the 3400 V6 sounds like death warmed over on cold startups. From the piston slapping you'd swear that engine was going to chuck a rod any second. Nope, it's a typical slap-happy 3400.
If those 20k miles were during warmer weather and the noises go away once the engine is warmed up, it's perfectly normal.
If your car has noises that you think are not normal, find a friend with the same car or even go to the dealer and ask to start up and hear a Cruze running. If your car sounds like the others, although it may be louder than you recall, your vehicle is consistent with other vehicles. It doesn't totally mean this is right, but at least you know you sound like the others.
I had a similar situation this weekend. Started car with hood raised and heard all of the clicking and clacking. Lowered hood to the normal state, and now the car sounded "normal to me. In my case I am running 5W-30 Mobil 1. I am going to stick with a Dexos 1 approved oil for my protection.
Yep, I hear it.