Synonyms for Tethers:

n.

•prisons (noun)
brigs, vises, reform schools, Pillories, coops, pounds, jailhouses, oubliettes, Cells, strongholds, dungeons, gaols, Pens, reformatories, penal colonies, stockades, irons, keeps, Penitentiaries, coolers, pinions, Prisons, lockups.
•restraints (noun)
confinements, Constrictions, constraints, hindrances, Inhibitions, restraints, blockages, impediments, strictures, detentions, restrictions.

v.

•fastens (verb)
Glues, lashes, zips, fastens, brackets, chains, plaits, Pastes, bastes, weaves, clinches, binds, stitches, straps, Knits, splices, welds, sews, fuses, connects, hitches, stays, braids, laces, Sutures, Couples, links, cements, tacks, ties, buckles, hinges, strings, knots.
•imprisons (verb)
harnesses, impounds, cages, fences, locks up, condemns, fetters, manacles, handcuffs, sentences, incarcerates, straight jackets, jails, imprisons.
•restrains (verb)
controls, collars, detains, restricts, constricts, hinders, restrains, leashes, confines, constrains, inhibits, shackles, impedes, bridles.

Usage examples for tethers

1. Such was the closeness of the combat they made, that the steeds of the Gael broke loose affrighted and plunging with madness and fury, so that their chains and their shackles, their traces and tethers snapped, and the women and children and pygmy- folk, the weak and the madmen among the men of Erin brake out through the camp south- westward. – The Ancient Irish Epic Tale Táin Bó Cúalnge by Unknown