"one who is compulsorily enrolled for military or naval service," 1800, perhaps a back-formation (influenced by French adjective conscrit) from conscription, or else a noun use of the adjective.
"to enroll compulsorily for military or naval service," 1813, American English, from conscript (n.). A word from the militia drafts in the War of 1812. Popularized (or unpopularized) during U.S. Civil War, when both sides resorted to it in 1862. Related: Conscripted; conscripting.
*skrībh-, Proto-Indo-European root meaning "to cut, separate, sift;" an extended form of root *sker- (1) "to cut."
It forms all or part of: ascribe; ascription; circumscribe; conscript; conscription; describe; description; festschrift; inscribe; inscription; manuscript; postscript; prescribe; prescription; proscribe; sans-serif; scribble; scribe; script; scriptorium; scripture; scrivener; serif; shrift; shrive; subscribe; superscribe; superscript; transcribe; scarification; scarify.
It is the hypothetical source of/evidence for its existence is provided by: Greek skariphasthai "to scratch an outline, sketch;" Latin scribere "to write" (to carve marks in wood, stone, clay, etc.); Lettish skripat "scratch, write;" Old Norse hrifa "scratch."