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The Collaborative International Dictionary
off-base

off-base \off-base\ adj. (Mil.) located outside a military base; as, off-base housing.

Douglas Harper's Etymology Dictionary
off-base

"unawares," 1936, American English, from off (adv.) + base (n.); a figurative extension from baseball sense of "not in the right position" (1898), from notion of a baserunner being picked off while taking a lead.

Wiktionary
off-base

a. (alternative form of off base English)

WordNet
off-base

adj. located outside a military base; "off-base housing"

Usage examples of "off-base".

He was enrolled in a big high school off-base, somewhere in New Jersey, somewhere near Fort Dix.

If you wanted to make an off-base or longdistance call, you had to find a pay station and feed it coins.

They'd both made plans to stay off-base, so why should the corporal be stuck camping there if he didn't have to be?