Relying rhymes with:
applying, belying, complying, flying, implying, lying, misapplying, overflying, overlying, plying, replying, supplying, underlying
Relying sounds like:
railing, railings, rallying, rawling, rawlings, rawlins, reallowance, realms, reeling, rehling, reiling, relaunch, relaying, reliance, reliance's, relinquish, relinquishes, rilling, roehling, rohling, roiling, roling, rolling, rollings, rollins, rollins', rollins's, rolnick, roylance, ruling, ruling's, rulings