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