In the first scene from TOS: "Where No Man Has Gone Before", Kirk was scripted to be wearing a watch which he momentarily looked at.  However, no such watch appears in the final version of the scene. Kirk was again scripted to be wearing a wrist watch in the final draft script of TOS: "The Corbomite Maneuver" (dated 3 May1966), in the episode's final scene. However, this reference to a watch wasn't included in the second revised final draft of the installment's teleplay (dated 20 May 1966) and is not shown on screen.
The second draft script for TOS: "The Man Trap" (then called "Damsel with a Dulcimer") included a scene in which Kirk advised someone called "Jim" to check his own wristwatch. In a memo of script notes Robert Justman sent John D.F. Black (on 2 June1966), Justman remarked that he didn't think the line was necessary. In another memo of script notes, this one from Gene Roddenberry to episode writer George Clayton Johnson (also sent on 2 June 1966), Roddenberry advised, "We're not playing our people as wearing watches. But we can if you check with Robert J., give him time to have something appropriate and futuristic made up."