waive

Etymology 1

From Middle English weyven (“to avoid, renounce”), from Anglo-Norman weyver (“to abandon, allow to become a waif”), from Old French waif (“waif”), from gaiver (“to abandon”), ultimately of Scandinavian/North Germanic origin; see weyver.

verb

1. (transitive, law) To relinquish (a right etc.); to give up claim to; to forgo.
   If you waive the right to be silent, anything you say can be used against you in a court of law.
   1. (particularly) To relinquish claim on a payment or fee which would otherwise be due.
2. (now rare) To put aside, avoid.
   […] seeing in many such occasions of common life we advisedly do renounce or waive our own opinions, absolutely yielding to the direction of others a. 1683, Isaac Barrow, Sermon LIX, “Of obedience to our spiritual guides and governors”
3. (obsolete) To outlaw (someone).
4. (obsolete) To abandon, give up (someone or something).
   but she might be waived, and held as abandoned. 1851, Alexander Mansfield Burrill, Law Dictionary and Glossary

Etymology 2

From Middle English weyven (“to wave, waver”), from Old Norse veifa (“to wave, swing”) (Norwegian veiva), from Proto-Germanic *waibijaną.

verb

1. (obsolete) To move from side to side; to sway.
2. (intransitive, obsolete) To stray, wander.

Etymology 3

From Anglo-Norman waive, probably as the past participle of weyver, as Etymology 1, above.

noun

1. (obsolete, law) A woman put out of the protection of the law; an outlawed woman.
2. (obsolete) A waif; a castaway.