means To shake with small, rapid, trembling movements — or, as a noun, the case an archer wears to hold arrows.

from Two different words wearing the same coat. The 'tremble' sense comes from Middle English 'quiveren,' likely related to the older 'cwiver' meaning nimble or quick. The arrow-case sense traveled a different road: through Old French 'quivre' or 'cuivre,' from a Germanic source (compare Old High German 'kohhar') — and the same ancient root surfaces in the English 'cocker.' So the shaking and the arrow-box are not relatives; they just happen to spell the same.