'coined' is past tense of 'coin' Is recoined a real word? It is not listed in Oxford dictionary.
closed as unclear what you're asking by sumelic, Scott, Nathaniel, Drew, tchrist♦ Aug 29 '16 at 3:30
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One test of whether something is a "real" word is whether people use it. If we consult the Ngram viewer, we find this example going back to 1805 from The Works, Political, Metaphysical, and Chronological, of the Late James Steuart, Volume 2, Sir James Steuart, ed.
But it may be found convenient, for removing the small fractions in shillings and sixpences, to recoin such denominations all together, and to put them to their integer numbers,....
English is fairly free in the use of prefixes (re-, un-, etc.) and suffixes (-ness, -ly, etc.), and dictionary makers don't have the space to include every combination of base word and affix.
In this instance, I think you're in good company with Sir James.