The Collaborative International Dictionary of English v.0.48:

Asquint \A*squint"\, adv. [Cf. Askant, Squint.]
   With the eye directed to one side; not in the straight line
   of vision; obliquely; awry, so as to see distortedly; as, to
   look asquint.
   [1913 Webster]

WordNet (r) 3.0 (2006):

asquint
    adj 1: (used especially of glances) directed to one side with or
           as if with doubt or suspicion or envy; "her eyes with
           their misted askance look"- Elizabeth Bowen; "sidelong
           glances" [syn: askance, askant, asquint, squint,
           squint-eyed, squinty, sidelong]