It has an enormous range of 650, but can't hit close units, giving it a major flaw if your units can get close enough. However, it is virtually impossible to get close enough, because its attack rate is insanely fast compared to other Long Distance enemies.
You can kill it easily by stacking Sadako Cat and A. Bahamut Cat. You need to weaken the Cyclone, then release A. Bahamut Cat, as demonstrated here. If you make the Cyclone stay next to the enemy base, Bahamut will kill it without being damaged due to the knockbacks that the Cyclone will receive.