I don't remember reading anything regarding constant blinking, but I know I would AT THE LEAST, first try googling it. But I would also call my vet and ask them if they knew why this would be going on. Does not sound like anything normal.
Of course I'm not vet either. Good luck with your little one.
Same happened to my chameleon when he was 6 weeks old.. I was very concerned like you and asked the breeder what could it be? But he said that it was just fine.. And he was surely fine! After 1-2 weeks he stopped the blinking,maybe he has something trapped in its eye? Try misting his cage a little more and see if that helps hope your cham gets better and hope its normal like mines