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