Here's what rhymes with cylical.
                        
                        
                    
                                umbilical  Words that almost rhyme with cylical
lyrical  empirical  physical  cynical  finical  critical  mystical  atypical  inimical  rhythmical  whimsical  encyclical  tricycle  arrhythmical  elliptical  rabbinical  nonphysical  sophistical  untypical  statistical  analytical  metaphysical  cylindrical  logistical  uncritical  apolitical  subliminal  parasitical  egoistical  overcritical  indivisible  hypocritical  egotistical  preclinical  supercritical  archetypical  hypercritical  noncritical  unpolitical  geopolitical  stereotypical  prototypical  impermissible  nonpolitical  noncriminal  sociopolitical  psychoanalytical