'associable' originates from English, formed from the verb 'associate' (ultimately from Latin 'associare', where 'ad-' meant 'to' and 'socius' meant 'companion') plus the adjectival suffix '-able' meaning 'capable of'.

'associate' came from Latin 'associare' via Old French 'associer' into Middle English (e.g. forms like 'associaten'), and the modern adjective 'associable' was later formed in English by adding '-able' to the base.

Initially it meant 'capable of being associated or joined'; over time the adjective also acquired a secondary sense of 'sociable' (willing to associate with others) in some usages.