Here's what rhymes with highhigh.
                        
                        
                    
                                high  thy  vi  hi  shy  sigh  fi  hy  thigh  vie  psi  hai  cy  fy  sy  thei  phi  by  my  why  die  lie  y  buy  fly  sky  guy  tie  bi  bye  chi  dye  nigh  pi  pie  spy  thai  dei  fry  ly  quae  rye  sly  ty  wir  awry  lye  mai  muy  nai  wry  kai  lai  luy  mei  tai  wai  sty  stye  slier  dry  try  cry  defy  ply  pry  tri  trie  pri  firefly  ossify  spry  turfy  scurfy  shanghai  apply  supply  thereby  deny  rely  hereby  verify  certify  pacify  belie  untie  edify  overlie  vilify  aquae  bonsai  deify  vivify  amebae  horrify  stupefy  lanai  overfly  versify  banzais  overbuy  reply  imply  justify  nearby  satisfy  whereby  modify  specify  classify  signify  testify  goodbye  notify  alibi  fortify  nullify  ratify  samurai  unify  decry  falsify  pupae  terrify  typify  amoebae  codify  crucify  descry  mollify  ramify  acidify  mystify  retry  blowfly  calcify  revivify  scarify  barfly  mummify  vitrify  ripply  speechify  yuppify  identify  occupy  clarify  comply  nuclei  qualify  alkali  simplify  butterfly  glorify  gratify  purify  underlie  alveoli  amplify  diversify  magnify  rectify  standby  beautify  lullaby  solidify  termini  dignify  liquefy  mortify  oversupply  personify  resupply  stratify  stultify  triply  ultrahigh  emulsify  misapply  petrify  reunify  liquify  hyperbolae  prettify  beatify  drachmai  refortify  syllabify  dandify  stimuli  intensify  quantify  demystify  detoxify  reclassify  dissatisfy  declassify  gentrify  solemnify  multiply  exemplify  disqualify  indemnify  objectify  dragonfly  electrify  cumuli  misidentify  oversimplify  preoccupy  transmogrify