Happenstance rhymes with:
circumstance, circumstance, circumstance, flashdance, freelance, sundance, abeyance, abhorrence, absence, abstinence, abundance, acceptance, accordance, acquaintance, acquiescence, adherence, admittance, adolescence, adriance, advance, affluence, agence, aix-en-provence, alamance, alfonse, allegiance, alliance, allowance, ambiance, ambience, ambivalence, ambulance, announce, annoyance, anse, antisense, appearance, appliance, arrogance, ascendance, askance, assistance, assurance, attendance, audience, avoidance, balance, ballance, banponce, beligerence, bellavance, belligerence, bence, beneficence, benevolence, bioscience, bounce, brigance, brilliance, bunce, cadence, capacitance, chance, chaunce, chrominance, circumference, circumstance, clairvoyance, clarence, clearance, clemence, coalescence, coexistence, cognizance, coherence, coincidence, coinsurance, comeuppance, comfinance, commence, commonsense, competence, compliance, concurrence, condense, condolence, conference, confidence, confluence, conformance, congruence, connivance, conscience, consequence, consistence, constance, continuance, contrivance, convalescence, convenience, convergence, conveyance, convince, coonce, correspondence, counce, countenance, counterbalance, counterintelligence, crance, credence, cronce, crounse, cryptoclearance, currence, dalliance, dance, decadence, defeasance, defence, defense, deference, defiance, defrance, deliverance, denounce, dense, dependence, deterrence, deviance, difference, diligence, dinse, disallowance, disappearance, discontinuance, disobedience, dispense, dissidence, dissonance, distance, disturbance, divergence, dolence, dominance, dorrance, duran's, durrance, durrence, ebullience, effluence, elegance, eloquence, emergence, eminence, endurance, enhance, ensconce, entrance, equivalence, essence, evanescence, evidence, evince, excellence, existence, expanse, expedience, expense, experience, extravagance, exuberance, faunce, fellenz, fence, ferenc, ference, finance, flamboyance, flashdance, florance, florence, flounce, forbearance, forebearance, fragrance, france, frankincense, freelance, furtherance, gaunce, glance, gonce, governance, grievance, guidance, hance, hans, hence, hense, hermance, hindrance, honse, ignorance, imbalance, immanence, immense, imminence, impatience, impedance, importance, impotence, imprudence, inadvertence, ince, incense, incidence, incoherence, incompetence, incontinence, inconvenience, independence, indifference, inductance, indulgence, inexperience, inference, influence, inheritance, innocence, insignificance, insistence, insolence, insouciance, instance, insurance, intelligence, intense, interdependence, interference, intolerance, intransigence, invariance, irrelevance, irreverence, issuance, jurisprudence, kleinhenz, klemens, kloberdanz, koonce, kunce, lachance, lafrance, lafrenz, lance, larrance, laurance, laurence, lawrance, lawrence, lesperance, leverenz, licence, license, lieurance, lince, linse, lohrenz, lorance, lorence, lowrance, luminance, luminescence, maintenance, malfeasance, mance, mccance, mince, mispronounce, mounce, munce, nance, negligence, neuroscience, non-nonsense, nonce, nonchalance, noncompliance, nondefense, noninterference, nonsense, nonviolence, nuance, nuisance, nunsense, obedience, observance, obsolescence, occurrence, offense, omnipotence, omnipresence, once, opulence, ordinance, ordnance, ounce, outdistance, outperformance, overabundance, overconfidence, overdependence, overreliance, palance, parlance, patience, penance, pence, pense, perchance, performance, permanence, persecutions, perseverance, persistence, pestilence, petulance, phosphorescence, pittance, plaisance, pomerance, pomeranz, port-au-prince, port_au_prince, pounce, prance, precedence, predominance, preeminence, preference, preponderance, prescience, presence, pretense, prevalence, prince, prominence, pronounce, protuberance, provance, provenance, provence, provenience, providence, province, prudence, pseudoscience, purviance, quaintance, quince, quintessence, radiance, rance, reallowance, reappearance, reassurance, recalcitrance, recognizance, recompense, reconnaissance, recurrence, reemergence, reference, refinance, reinspections, reinsurance, relevance, reliance, reluctance, remembrance, reminiscence, remittance, renaissance, renounce, repentance, reponse, resemblance, residence, resilience, resistance, resistence, resonance, response, resurgence, reticence, reverence, riddance, rinse, romance, roylance, schanz, schranz, schronce, schwanz, science, sconc, sconce, scronce, seance, self-confidence, self-deliverance, self-subsistence, semblance, senescence, sense, sentence, sequence, severance, significance, silence, since, somnolence, spence, spens, stance, sterbenz, st_lawrence, submergence, subservience, subsidence, subsistence, substance, sundance, surveillance, suspense, sustenance, tarrance, teleconference, telescience, temperance, tense, terence, terrance, terrence, thence, tolerance, torrance, torrence, trance, transcendence, transference, transience, trounce, turbulence, unbalance, underfinance, underperformance, utterance, valence, vallance, vance, variance, vehemence, vengeance, videoconference, vigilance, vince, violence, virulence, whence, wince, yonce, younce