'arthritis-relieving' is a Modern English compound formed from 'arthritis' and 'relieving'. 'arthritis' ultimately originates from Greek elements 'arthron' and '-itis', where 'arthron' meant 'joint' and '-itis' meant 'inflammation'; 'relieving' ultimately comes from Latin 'relevare', where 're-' meant 'again/back' and 'levare' meant 'to raise or lighten'.

'arthron' (Greek) produced New Latin elements that formed 'arthritis' in Modern English; Latin 'relevare' passed into Old French as 'relever' and into Middle English as 'relieve', whose present participle became 'relieving'; these elements combined in Modern English to form the compound 'arthritis-relieving'.

Initially, 'arthritis' meant 'inflammation of a joint' and 'relieve' meant 'to lift or reduce a burden'; over time the compound came to mean 'serving to reduce the symptoms or pain of arthritis'.