Here's what rhymes with lexicostatistic.
cystic mystic statistic autistic artistic stylistic ballistic logistic sadistic theistic atheistic juristic patristic heuristic holistic simplistic dualistic synergistic egoistic fatalistic futuristic hedonistic monistic syllogistic egotistic surrealistic aphoristic sophistic nepotistic puristic realistic optimistic idealistic journalistic pessimistic altruistic opportunistic socialistic animistic pantheistic polycystic chauvinistic eulogistic shamanistic voyeuristic feudalistic inartistic jingoistic pugilistic belletristic casuistic characteristic linguistic unrealistic deterministic humanistic mechanistic naturalistic capitalistic moralistic paternalistic pluralistic ritualistic communistic legalistic militaristic novelistic positivistic cannibalistic polytheistic euphemistic overoptimistic antagonistic monopolistic nationalistic probabilistic narcissistic rationalistic relativistic monotheistic oligopolistic expressionistic individualistic materialistic anachronistic imperialistic impressionistic uncharacteristic spiritualistic sociolinguistic universalistic Words that almost rhyme with lexicostatistic
flyspeck dipstick diptych picnic lipstick lytic triptych critic civic lyric terrific mimic mythic citric cryptic elliptic idyllic physic cynic lithic thymic gimmick pinprick nitpick sylphic specific clinic rhythmic acidic dendritic ecliptic limbic pacific rabbinic satiric empiric arrhythmic periwig cenobitic juridic coenobitic zoophytic scientific analytic intrinsic catalytic extrinsic hemolytic parasitic prolific acrylic granitic horrific paralytic phenotypic syphilitic arthritic haemolytic honorific hydrolytic impolitic porphyritic saprophytic bulimic nephritic philippic bromidic psychoanalytic apocalyptic hydrophilic proteolytic antiarrhythmic basophilic metaphysic neolithic thrombolytic patronymic unspecific hermaphroditic palaeolithic paleolithic pantomimic logarithmic monolithic nonspecific electrolytic hemispheric unscientific algorithmic carboxylic eosinophilic fibrinolytic hieroglyphic antisemitic megalithic stratospheric encephalitic nonrhythmic cataclysmic organismic nonscientific transpacific polyclinic