The term "blink-eyed" is quite uncommon in modern English usage, and as such, there are only a handful of synonyms that effectively convey a similar meaning. Some possible alternatives might include "winking," "flashing," or "flickering." Each of these words suggests a quick, momentary movement or change in appearance, which is somewhat akin to the act of blinking. Other possibilities might include "squinting," "narrowing," or "closing" the eyes, all of which describe ways in which the eyelids can change position. Ultimately, the choice of synonym will depend on the precise context in which the word is being used.