'sporadically-rejected' originates from the combination of 'sporadic' and 'rejected'. 'Sporadic' comes from the Medieval Latin 'sporadicus', meaning 'scattered', and 'rejected' comes from the Latin 'rejectus', meaning 'thrown back'.

'Sporadicus' transformed into the English word 'sporadic', and 'rejectus' became 'rejected' in English, eventually forming the compound adjective 'sporadically-rejected'.

Initially, 'sporadic' meant 'scattered or isolated', and 'rejected' meant 'thrown back'. Together, they evolved to mean 'occasionally refused'.