leech (1) Look up leech at Dictionary.com
"bloodsucking aquatic worm," from O.E. lęce (Kentish lyce), of unknown origin (with a cognate in M.Du. lake). Commonly regarded as a transf. use of leech (2), but the O.E. forms suggest a distinct word, which has been assimilated to leech (2) by folk etymology. Figuratively applied to human parasites since 1784.
leech (2) Look up leech at Dictionary.com
obsolete for "physician," from O.E. lęce, from O.Dan. lęke, from P.Gmc. *lęlijaz "healer, physician" (cf. O.N. lęknir, O.H.G. lahhi, Goth. lekeis "physician"), lit. "one who counsels," perhaps connected with a root found in Celt. (cf. Ir. liaig "charmer, exorcist, physician") and/or Slavic (cf. Serbo-Croatian lijekar), with an original sense of "speak, talk, whisper, conjurer." The form and sense merged with leech (1) in M.E. by folk etymology. In 17c., leech usually was applied only to veterinary practitioners. The third finger of the hand, in O.E., was lęcfinger, translating L. digitus medicus, Gk. daktylus iatrikos, supposedly because a vein from that finger stretches straight to the heart.