Moving this from the main batman board, I made this topic there but its a better fit here.

 I mean him and Bruce go way back, but Harvey Dent has a long history of tormenting the Robins. He was responsible for Jason Todd's fathers death.  Dick Grayson was fired for a time as Robin because two-face beat his ass so hard(and almost killed him). Not to mention he put batman and the D.A. in a double gallows trap and Robin failed to save the DA(that traumatized him). 2 face also attacked Dick Greyson(in his custom made batman suit) . He has encountered Tim Drake numerous times and its only a matter of time before he and Damian seriously go at it.
 
it is kind of funny because in a way because Harvey Dent was batmans first partner in justice along with Commissioner Gordon. They were working together to catch crooks, but then he got acid thrown in his face. Batman felt bad but moved on to get some kids two help him put the bad guy away, while tent became a monster.  Even in Nightwing the great leap Harvey and Dick were fighting pretty hard, because Dick grayson has not gotten over some of the things Harvey has done(like take a baseball bat to him). In a way batman goes back and forth but usually he thinks harvey can be saved, while dick puts him on the same level as the joker.

It is only a matter of time before Damian Wayne ends up on the wrong side of Big Bad Harv's coin, and then that kid will experience some much needed childhood trauma.

I do kinda like the idea of Two-Face having a certain vendetta against the Robins. I mean as D.A. he probably would have been against a child vigilante.

But now as a crook(depending on the coin toss), he is a child abuser,

I think that's Joker's area.

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Absolutely! He was the trial by fire for all three of the first Robins, the villain they had to face and endure to prove themselves as Boy Wonders. I like to think of Two-Face as the "Wacky Uncle" to the Robins in the Batfamily. It's a shame that Steph and Damian broke the pattern, and never faced against Harvey as well. 

It's worth noting that the Robins also have a history of particular antagonism against Two-Face, mainly stemming out of a lack of sympathy when it comes to the way Bruce gives him special treatment. In the Bronze Age, the episode "Second Chance," and in "Face the Face," the Robins simply don't understand or like that Batman keeps holding out hope for Harvey.

They only see the monster of Two-Face, whereas Bruce is always looking for the Harvey Dent within. 

Batman and Harvey have a complicated relationship of failure, disappointment, redemption, and betrayal. Two-Face and the Robins just have hatred, a special kind of bitter hatred that only comes from him being there at the moment they earned their wings.  

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Dent is lucky he never met Damian,or he would have joined the Spook.