If you want one without a turbo, it's a 1.8L in the USA. And I think its camshafts are driven by a toothed Gilmer Belt. But don't let that stop you, just replace the belt every five years or 70-100kmi.
Both are salvage titles, so in most states you'll have to have it inspected before you can license it.
And both are open to amateur bidders. Take a close look at the fee schedule and deduct the fees from what you're willing to bid.
The 1.8's do indeed have a timing belt. They are relatively gutless and inefficient compared to the 1.4L, and the 1.8L Cruzes do NOT have cruise control or much in the way of options, but they are generally more reliable.
The 1.4L engines do have a chain (and a turbo). PCV system issues, turbo failures, water pump failures, and leaks are commonplace. AVOID 2011-12 1.4 turbo Cruzes. Just don't. 14+ are a safer bet as some of the engineering kinks were worked out. The 1.4L engine is torquey in the midrange and relatively efficient for the class of car.