Subduing rhymes with:
dewing, doing, outdoing, overdoing, redoing, undoing, accruing, blueing, bluing, booing, brewing, canoeing, chewing, cooing, cuing, debuting, dewing, doing, eschewing, ewing, hewing, lewing, misconstruing, nonaccruing, outdoing, overdoing, pursuing, queuing, redoing, renewing, reviewing, screwing, skewing, spewing, stewing, suing, tattooing, undoing, viewing, wooing
Subduing sounds like:
septimus, shafting, shifting, sifting, softening, softens, softimage, softness, speeding, spitting, spotting, spouting, sputnik, sputniks, subatomic, subotnick, swiftness