To chase, pursue, or drive away persistently (rare or archaic).
From the prefix 'be-' combined with 'chase' (from Old French 'chacier'); the 'be-' prefix intensifies the chasing action, giving it emphasis.
Like many 'be-' verbs, 'bechase' is almost extinct, but it once served to emphasize relentless pursuit—imagine being 'bechased' versus just 'chased,' and you feel the difference.
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