“ALICYCLIC” is a valid word.

acyclicnot cyclic; especially having parts arranged in spirals rather than whorls

lilacany of various plants of the genus Syringa having large panicles of usually fragrant flowers
iliacof or relating to the ilium
ciliaa hairlike projection from the surface of a cell; provides locomotion in free-swimming unicellular organisms
icilyin a cold and icy manner
ilial

allquantifier; used with either mass or count nouns to indicate the whole number or amount of or every one of a class
laya narrative song with a recurrent refrain
illan often persistent bodily disorder or disease; a cause for complaining
icydevoid of warmth and cordiality; expressive of unfriendliness or disdain
lacresinlike substance secreted by certain lac insects; used in e.g. varnishes and sealing wax
ailaromatic bulb used as seasoning
caya coral reef off the southern coast of Florida

ya
laa white soft metallic element that tarnishes readily; occurs in rare earth minerals and is usually classified as a rare earth
ala silvery ductile metallic element found primarily in bauxite
lia soft silver-white univalent element of the alkali metal group; the lightest metal known; occurs in several minerals
ay
aian agency of the United States Army responsible for providing timely and relevant and accurate and synchronized intelligence to tactical and operational and strategic level commanders

ALICYCLIC