'precisely-cut' is a modern English compound formed from the adverb 'precisely' and the verb 'cut'. 'Precisely' derives from 'precise' + the adverbial suffix '-ly', while 'cut' is the common English verb/noun 'cut'.

'precise' comes from Latin 'praecisus' (past participle of 'praecidere'), where 'prae-' meant 'before' and 'caedere' meant 'to cut'; 'precisely' developed in English by adding '-ly' to 'precise'. 'Cut' is from Old English roots meaning 'to cut/carve' and has remained in Germanic languages into Modern English. The compound 'precisely-cut' arose in Modern English by combining these elements to describe something cut with precision.

Initially the roots related directly to cutting (Latin 'praecidere' literally 'to cut off before'); over time 'precise' shifted toward the sense of exactness, and the compound now means 'made or cut with exactness' rather than focusing on the act of cutting itself.