abstainer, ascetic -- (someone who practices self denial as a spiritual discipline)
Overview of adj ascetic
The adj ascetic has 2 senses
ascetic, ascetical -- (pertaining to or characteristic of an ascetic or the practice of rigorous self-discipline; "ascetic practices")
ascetic, ascetical, austere, spartan -- (practicing great self-denial; "Be systematically ascetic...do...something for no other reason than that you would rather not do it"- William James; "a desert nomad's austere life"; "a spartan diet"; "a spartan existence")