Reinking rhymes with:
banking, blanking, blinking, clanking, cranking, debunking, drinking, flanking, flunking, franking, honking, junking, linking, nanking, nonbanking, outflanking, planking, plinking, plunking, ranking, rethinking, shrinking, sinking, spanking, spelunking, stinking, tanking, thanking, thinking, unthinking, winking, yanking
Reinking sounds like:
ranching, ranging, rangoon's, ranking, rankings, rankins, ransacking, ransom's, ransoms, rearranging, remaking, reminiscence, reminiscences, reminiscing, remissions, renaissance, renaissance's, reneging, renouncing, rensing, ringing, ringneck, rinsing, romancing, rummaging