A "succinct story" is a short and straightforward narrative that wastes no words or goes off topic. It gets straight to the point and quickly conveys its central message or idea. Full definition
Create and then practice delivering succinct stories that answer these questions, while demonstrating how you possess the right skill sets and background for the role. (theladders.com)
It's about telling a clear, succinct story about who you are and why you are the perfect solution to some company's problem. (astoriedcareer.com)
Story-wise... Ronda's definitely told a better, more succinct story. (sbnation.com)