A third party - typically a sales agent - who acts on behalf of a company when dealing with customers; so the phrase "cutting out the middle man" refers to customers dealing directly with the manufacturer.
The Middle Men or Men of Twilight, a racial group of characters from J.R.R. Tolkien's legendarium
Middleman node, a node in anonymity networks such as Tor or Mixmaster that only forwards messages to other anonymizing nodes and never lets messages exit the network