Etymology
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off-base (adv.)

"unawares," by 1936, American English, from off (adv.) + base (n.); a figurative extension from baseball sense of a runner being "not in the right position" (1882) and vulnerable to being picked off.

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Definitions of off-base

off-base (adj.)
located outside a military base;
off-base housing
From wordnet.princeton.edu