WordNet (r) 3.0 (2006):

cut down
    v 1: cut down on; make a reduction in; "reduce your daily fat
         intake"; "The employer wants to cut back health benefits"
         [syn: reduce, cut down, cut back, trim, trim
         down, trim back, cut, bring down]
    2: cut with sweeping strokes; as with an ax or machete [syn:
       slash, cut down]
    3: cause to come or go down; "The policeman downed the heavily
       armed suspect"; "The mugger knocked down the old lady after
       she refused to hand over her wallet" [syn: down, knock
       down, cut down, push down, pull down]
    4: intercept (a player) [syn: cut down, cut out]
    5: cut with a blade or mower; "mow the grass" [syn: mow, cut
       down]
    6: cause to fall by or as if by delivering a blow; "strike down
       a tree"; "Lightning struck down the hikers" [syn: fell,
       drop, strike down, cut down]

Moby Thesaurus II by Grady Ward, 1.0:

178 Moby Thesaurus words for "cut down":
   abbreviate, abridge, abstract, annihilate, beat down,
   bereave of life, blow down, blow over, blow to pieces, blow up,
   bob, boil down, bowl down, bowl over, brain, break down,
   bring down, bulldog, bulldoze, burn down, burn to death, capsulize,
   carry away, carry off, cast down, chloroform, chop down, clip,
   compress, condense, contract, crop, curtail, curtail expenses, cut,
   cut back, cut corners, cut off, cut off short, cut short,
   cut to pieces, damp, dampen, dash down, deal a deathblow, deck,
   decrease, deduct, deflate, depreciate, depress, deprive of life,
   destroy, diminish, disintegrate, dispatch, dispose of,
   do away with, do for, do to death, dock, down, downgrade, drop,
   elide, end, epitomize, execute, exterminate, fell, fetch down,
   finish, finish off, flatten, floor, foreshorten, frag,
   give the quietus, ground, gun down, hew down, immolate, incinerate,
   jugulate, kill, knock down, knock over, lapidate,
   launch into eternity, lay level, lay low, lay out, lessen, level,
   liquidate, lower, lynch, make away with, mark down, martyr,
   martyrize, mow, mow down, nip, pare, pare down expenses, pistol,
   poison, poleax, poll, pollard, precipitate, prostrate, prune,
   pull down, purge, put away, put down, put to death, put to sleep,
   rase, raze, reap, recap, recapitulate, reduce, remove from life,
   retrench, riddle, roll back, sacrifice, scale down, send headlong,
   shave, shear, shoot, shoot down, shoot to death, shorten, shotgun,
   silence, simplify, slash, slay, slow down, smash, snub,
   spread-eagle, stab to death, starve, steamroller, step down, stone,
   stone to death, strike dead, stunt, sum up, summarize, supinate,
   synopsize, take a reef, take down, take from, take in, take life,
   take off, tear down, telescope, throw, throw down, topple, trim,
   trip, truncate, tumble, tune down, vaporize, whack down