colloquial shortening of legitimate (adj.), 1897, originally in theater, in reference to legitimate drama, that which has literary merit (Shakespeare, etc., etc.).
Entries linking to legit
legitimate adj.
mid-15c., "lawfully begotten, born of parents legally married," from past participle of Old French legitimer and directly from Medieval Latin legitimatus, past participle of legitimare "make lawful, declare to be lawful," from Latin legitimus "lawful," originally "fixed by law, in line with the law," from lex (genitive legis) "law" (see legal). Transferred sense of "genuine, real" is attested from 1550s. Related: Legitimately; legitimateness. The older adjective in English was legitime "lawful, of legitimate birth" (late 14c.), from Old French legitime, from Latin legitimus.