Having spent much of my life around people speaking languages I often had trouble understanding, the quoted phenomenon becomes even more obvious. I got better and better at maintaining the rhythm of a conversation, and occasionally even fooling someone into thinking I understood them, simply based on verbal cues, snippets of grammatical cues and pitch (and perhaps other signifiers).

And perhaps this is an even better (and much cuter) example of the phenomenon:

https://www.youtube.com/watch?v=_JmA2ClUvUY (talking babies)