The Collaborative International Dictionary of English v.0.48:

Cyclonic \Cy*clon"ic\ (s?-kl?n"?k), a.
   Pertaining to a cyclone.
   [1913 Webster]

WordNet (r) 3.0 (2006):

cyclonic
    adj 1: of or relating to or characteristic of the atmosphere
           around a low pressure center; "cyclonic cloud pattern"
           [syn: cyclonic, cyclonal, cyclonical]
    2: of or relating to or characteristic of a violent tropical
       storm; "cyclonic destruction" [syn: cyclonic, cyclonal,
       cyclonical]

Moby Thesaurus II by Grady Ward, 1.0:

47 Moby Thesaurus words for "cyclonic":
   aerographic, aerologic, angry, baric, barographic, barometric,
   circumgyratory, circumvolutory, climatologic, cloudy, dirty,
   elemental, foul, gulfy, gyral, gyrational, gyratory, gyrostatic,
   high-pressure, isobaric, isometric, isopiestic, macroclimatic,
   meteorologic, microclimatic, microclimatologic, raging, rainy,
   rotary, rotational, rotatory, storming, stormy, swirly,
   tempestuous, tornadic, trochilic, turbulent, typhonic, typhoonish,
   vertiginous, vortical, whirlabout, whirligig, whirlwindish,
   whirlwindy, whirly