What is the meaning of a battery's "cycle life?"
The cycle life is the number of complete charge/discharge cycles that the battery is able to support before that its capacity falls under 80% of it's original capacity. So if the battery is discharged to 60 % and then charged to 80% it isn't a complete cycle.

You could find more information in this site. Your link says that cycle life is the number of charge/recharge cycles that the battery can support before that it's capacity falls under 85%, my link says 80%. These datas are indicative and I think that can vary a little bit. Generally cycle life means the number of charge/recharge cycles before a battery starts to reduce visibly its performance.

According to your link the Li Po batteries generally can support 600 full charge/recharge cycles before its capacity falls under 85-80%. Remember that this value is only indicative and this number can vary a lot depending the manufacturer and the product quality.