The Collaborative International Dictionary of English v.0.48:
Varicosity \Var`i*cos"i*ty\, n. 1. The quality or state of being varicose. [1913 Webster] 2. An enlargement or swelling in a vessel, fiber, or the like; a varix; as, the varicosities of nerve fibers. [1913 Webster]WordNet (r) 3.0 (2006):
varicosity n 1: varix or varicose condition in which a vein is swollen and tortuous