For a trypophobic like myself, just looking at the close up view of this piece freaks me out. It's actually shocking that I spent this much time inspecting this series of neatly aligned tiny little dots while simultaneously fighting the urge to burn it.
I started with a fairly solid line of dots to do the outline of the major "parts": First the bridge of the nose and the top of the eyebrow to set the left and top boundaries for where the eye would go, followed by the eye itself then the creases above and below. The pupil seemed like the best place to go next, to establish the darkest color I could achieve with my medium, an extra fine sharpie. From there, I just did a random(-ish) series of dots to add some dimension, with more densely placed dots being the darker, shaded areas of the eye socket.
I tried to do some more darker lines for the eyelashes, but I felt like it was too difficult to do individual lashes given the backdrop of a field of dots. I gave a more cartoonish look to the lashes by increasing the thickness closer to the follicle.