You know, way back in the recesses I thought I remembered an episode of Star Trek that I think is a better explanation of your communication than Hipster KilingonR
I looked it up and in 1991, Paul Winfield, the guy who was the police captain in the original Terminator, played a kind of lizard looking dude who was marooned on a planet with Picard.
He kept saying stuff like, "Temba, his arms wide." and it didn't make any sense until you knew the history of his people.
I think your language is more akin to Tamarian, communication by allegory.