I don't think he was going to tell Bond who he worked for. He was just trying to preoccupy Bond while he grabbed his gun off the floor.
Now, I do think that perhaps you could argue that he should have kept Dent alive for interrogation. But I think that Bond had had enough of Dent trying to kill him.
Talk about an interesting person, Dent is played by Anthony Dawson. Dawson's most famous role is of course the "killer" in Dial M for Murder. You wouldn't know it to look at him but he was quite the ladies' man. He had a brief affair with the lead actress of the movie, you know, Grace Kelly. He was a favorite of director Terence Young who cast his voice and cat-stroking hands for Ernst Stavro Blofeld in his two James Bond movies, From Russia with Love and Thunderball.