Here's what rhymes with gaim.
                        
                        
                    
                                came  game  aim  aime  ame  same  name  claim  fame  shame  lame  tame  dame  maim  became  frame  blame  flame  acclaim  overcame  reclaim  aflame  rename  declaim  defame  ballgame  proclaim  exclaim  inflame  disclaim  quitclaim  forename  filename  selfsame  aspartame  counterclaim  Words that almost rhyme with gaim
gain  ain  cane  ane  main  pain  chain  grain  rain  reign  ln  vain  vein  lane  sane  crane  fain  lain  pane  rein  bane  mane  tain  vane  wane  deign  feign  skein  arraign  thane  wain  brain  plain  plane  train  attain  drain  slain  stain  cocaine  regain  terrain  twain  arcane  inane  moraine  urbane  swain  chicane  murrain  contain  obtain  remain  campaign  domain  strain  retain  insane  detain  hurricane  pertain  ordain  certaine  germane  romaine  sprain  ingrain  explain  maintain  sustain  ascertain  complain  refrain  champagne  disdain  humane  profane  abstain  mundane  sugarcane  butane  humaine  overlain  appertain  urethane  retrain  wholegrain  reattain  entertain  restrain  aeroplane  constrain  cellophane  halothane  coxswain  inhumane  monoplane  windowpane  preordain  reexplain  legerdemain  hydroplane  foreordain  polyurethane  demimondaine  raceme