Counterintelligence rhymes with:
agence, allegiance, convergence, diligence, divergence, emergence, indulgence, intelligence, intransigence, negligence, reemergence, resurgence, submergence, vengeance
agence, allegiance, convergence, diligence, divergence, emergence, indulgence, intelligence, intransigence, negligence, reemergence, resurgence, submergence, vengeance