'periodically-restricted' is a modern English compound formed from the adverb 'periodically' and the past-participle adjective 'restricted'. 'periodically' ultimately derives from Greek via Latin and French ('periodicus'/'periodicus'), where Greek 'periodos' meant 'a going around' or 'cycle'; 'restrict' comes from Latin 'restringere' ('re-' meaning 'back' or 'again' and 'stringere' meaning 'to draw tight').

'periodically' evolved from Greek 'periodos' through Late Latin/Medieval Latin and entered Modern English as 'periodic' and then 'periodically'; 'restricted' is the past-participle form of 'restrict', from Latin 'restringere'. The compound 'periodically-restricted' is a recent, descriptive formation in Modern English that joins the adverbial element with a past-participial adjective.

Initially the elements separately meant 'in cycles' (periodically) and 'drawn tight/limited' (restricted); combined in modern usage they mean 'limited at recurring times' and retain that descriptive sense without significant semantic shift from their component meanings.