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The Collaborative International Dictionary
Overstare

Overstare \O`ver*stare"\, v. t. To outstare. [Obs.]
--Shak.

Overstare

Overstare \O`ver*stare"\, v. i. To stare wildly. [Obs.]
--Ascham.

Wiktionary
overstare

vb. 1 (context obsolete English) To stare wildly. 2 (context obsolete English) To outstare.