The Collaborative International Dictionary of English v.0.48:
Kyke \Kyke\, v. i. [See 1st Kike.]
To look steadfastly; to gaze. [Obs.] [Written also kike,
keke.]
[1913 Webster]
This Nicholas sat ever gaping upright,
As he had kyked on the newe moon. --Chaucer.
[1913 Webster] Kyley