"small piece," late 14c., from Old Norse skrap "scraps, trifles," from skrapa "to scrape" (see scrape). Meaning "remains of metal produced after rolling or casting" is from 1790. Scrap iron first recorded 1823.
"fight," 1846, possibly a variant of scrape (n.) on the notion of "an abrasive encounter." But Weekley suggests obsolete colloquial scrap "scheme, villainy, vile intention" (1670s).