One eye's worth. English has a small family of words built the same way: a is what a spoon holds, a handful is what a hand holds. An eyeful can be thought of as what an eye holds in one go. From there the word can point three ways: at the view that fills the eye, at the person or sight striking enough to be that filling, and at the real sand or water that fills the eye and makes it sting.
「eyeful」可以想成「眼睛一次裝得下的量」。英文有一整排同樣做法的字：a spoonful 是一湯匙裝得下的量，a handful 是一手抓得起的量。把容器換成眼睛，就是 an eyeful。有了這個畫面，三種用法就連起來了：裝進來的可以是一幅讓你移不開眼的景象，可以是那個本身就搶眼的人或東西，也可以是真的跑進眼睛、害你直眨眼的沙子和水。
From the word’s history
Wiktionary gives the formation simply as eye + -ful, the same suffix used in spoonful and handful to mean one container's worth.
來源資料把這個字的組成寫得很直接：eye 加上 -ful。-ful 就是 spoonful、handful 裡那個「一容器的量」的字尾，所以字面上就是「一眼睛的量」。這條線索不是後來的比喻，而是這個字本來的做法。
Wiktionary, "eyeful"
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