WordNet (r) 3.0 (2006):

swear off
    v 1: promise to abstain from; "I have sworn off cigarettes
         altogether"

Moby Thesaurus II by Grady Ward, 1.0:

41 Moby Thesaurus words for "swear off":
   abandon, abjure, break the habit, cede, discontinue, disgorge,
   dispense with, dispose of, do without, drop, dump, forgo, forswear,
   get along without, get rid of, give away, give up, have done with,
   kick, kiss good-bye, leave off, make a sacrifice, part with,
   quitclaim, recant, relinquish, render up, renounce, resign,
   retract, sacrifice, shake, spare, stop, surrender, take the pledge,
   throw off, throw up, vacate, waive, yield