If I'm on a click where I don't have perplex, but I push to a click with perpelx, can I use it that turn. or because I took push damage is my turn over.

Thanks,

Nothing about taking a click of pushing damage ends your turn.

I didn't think so, but several people have tried to tell me that. Since his turn was over I couldn't perplex any more.

Thanks, for the answer.

There is no such thing as "his turn" in this game.

You have a turn, which is the sum of all actions and events made by one player. The figures themselves do not have turns.