Slice the steak against the grain at 45 degree angle into 1/4"-thick strips.
In a large bowl whisk together remaining ingredients.
Preheat grill to medium.
Toss meat slices into the chimichurri to coat.
Thread 4-5 strips (6 oz) onto each of 4 metal skewers. Fold each strip accordion-style, then spear through the center with the skewer. Spread strips down length of the skewer.
Grill skewers, covered, for 3 minutes. Turn, baste with remaining chimichurri, and grill, covered, for 3 more minutes.