To "succintify" is to make succinct. "Succinctify" is just a more succinct way of
saying "make succinct." Thus--to put it in the tense above--other words used to describe the word in question are: "wrapped it all up", "abstracted it", "summed it up". "filtered it", "(did) cut the crap out (of it)", "used no extra words" "gave a Spartan explanation/description of it", "hit the highlights- or, high points (of)", [perhaps "Cut him/her off at the pass"], "skipped the details", etc.