'anytime' originates from the combination of 'any' and 'time', where 'any' meant 'one or some' and 'time' referred to 'a point or period'.

'Anytime' evolved from the Old English 'ænig' (any) and 'tima' (time), eventually becoming the modern English word 'anytime'.

Initially, it meant 'at any point in time', and this meaning has largely remained the same in modern usage.