any of numerous species of flesh-eating or bloodsucking freshwater worms having a flattened segmented body with a sucker at each end: class Hirudinea
a person who leeches on another
archaic a physician or surgeon
Make each prescribe to other, as each other's leech — Shakespeare
[Old English lǣce; sense 3 may be a different word, the two coming together because the worm was long used by physicians to bleed patients]