Here's what rhymes with currentness.
Words that almost rhyme with currentness
earnestness urbanise nervousness terminus scurrilous curvaceous irksomeness virtuousness merciless permanence purposeless surrogates worthlessness nerveless mirthfulness hurtfulness herbalists percolates appurtenance permanents journalists turbulence impertinence tournaments hyperbolas firmaments determinants tuberculous invertebrates paternalists photojournalists