 Nyora kuenderera mberi kweiyi ndima - Heenan akasaina chibvumirano chemakore matatu cheIrish dunhu reConnacht muna Chivabvu 2013, achijoinha timu yemwaka wa2013-14. Akabatana neyaimbove murairidzi weBlues Pat Lam, uyo akange agadzwa semurairidzi mukuru wechikwata. Heenan akaita kutanga kwake kudivi musi wa7 Gunyana 2013, achiuya kubva pabhenji achipesana naZebre muPro12. Kutanga kwake kwakatanga mumutambo weIrish wedunhu neUlster, uko Heenan akatamba maminetsi makumi masere. Akaita Heineken Cup yake yekutanga musi wa11 Gumiguru 2013, achitanga kurwisa Saracens. Akatumidzwa zita rekuti Connacht mutambi wemwedzi waGumiguru 2013, mwedzi mumwe chete mushure mekutanga kwake. Heenan akatamba mutambo wose ari openside flanker nokuda Connacht sezvo ivo yakabereka mumwe mukuru kuvhunduka munhoroondo makwikwi, kurova mana nguva vakundi Toulouse ari dziva mumatanho ari Stade Ernest-Wallon. Akaita huwandu hwe12 ligi uye nhanhatu dzekuEurope mumwaka wake wekutanga, asi akarasikirwa nehafu yechipiri yemwaka mushure mekukuvara kwepafudzi kurwisa Saracens muna Ndira 2014. 