Mr Molony is a graduate of University College Dublin. He completed higher surgical training in Orthopaedic Surgery in Ireland in 2010 and spent the following year as clinical fellow in shoulder and elbow surgery at the Royal North Shore Hospital (University of Sydney) in Australia and as Trans-Tasman Shoulder and Elbow fellow in Christchurch, New Zealand. He also completed visiting fellowships focussing on elbow reconstruction in the Hand and Upper Limb Centre, London Ontario and The Mayo Clinic, Rochester Minnesota.

Mr Molony returned to Ireland in September 2011 and has been practicing as a Consultant Orthopaedic Surgeon specialising in shoulder and elbow surgery since then. Having initially worked in Waterford, he returned to Dublin in May of 2014 and currently works in UPMC Sports Surgery Clinic, Tallaght Hospital and Blackrock Clinic.

He provides a tertiary referral service for complex shoulder and elbow problems and has a particular interest in post-traumatic elbow and shoulder reconstruction, shoulder and elbow instability and joint replacement of the shoulder and elbow.

Mr Molony has a Masters in Surgery and has published over 20 peer-reviewed publications and a book chapter. He has ongoing research interests in traumatic shoulder and elbow injuries and sports injuries. He is involved in higher surgical training in orthopaedics both in Ireland and internationally.

He is a founding member and President of the Irish Shoulder and Elbow Society and a member of the British and European Elbow and Shoulder Societies. He is a fellow of the Royal College of Surgeons in Ireland and a member of the Irish Institute of Trauma and Orthopaedic Surgery and the Irish Orthopaedic Association. He is an AO trauma instructor and has acted on faculty for international meetings on shoulder and elbow reconstruction and trauma surgery.