Here's what rhymes with uncynically.
cynically clinically Words that almost rhyme with uncynically
physically nonphysically critically empirically pitifully uncritically pontifically politically scientifically intrinsically citizenry metaphysically sadistically statistically extrinsically militantly municipally parasitically uninhibitedly unscientifically significantly precipitously hypocritically mechanistically pessimistically subliminally iniquitously chauvinistically hypercritically optimistically ubiquitously nationalistically insignificantly ritualistically indistinguishably individualistically