The numbers
Maybe don't read this if you play cypher and think "yeah, spending effort feels meaningful and makes me happy", because this will gut that feeling if you comprehend what's going on.
The numbers for effort are terrible. Every stat point you spend gets you a 1/20 chance to change the outcome of a roll. That means on average you will not change the outcome of a roll until you spend 20 stat points. More if you reduce something to a level 0 task.
So let's add edge! Yay, now we are spending either 14 or 7 points to see one changed outcome. If your edge completely covers your effort, you're good.
I guess at least now wounds are a different resource, right? So I won't spend 20 points to try to avoid a 10 point hit.
Oh, wait. Instead of spending 20/14/7 stat points on a defense roll, I can spend 5 on rallying the moderate wound I might take.
Long story short, a cool mechanic that should be engaging is busted.
The impact of spending effort needs to be way higher. Or stat pools and the cost of every ability needs to be way higher. 1 point for a whole level of effort, and edge just adds to the d20 roll maybe?