To Matthias:
If your question was about a return to Republican rule, I think the answer is little to none. If Claudius really was the secret Republican he's been made out to be by some, then he's among the last of his breed. Besides, even despite the scandals that surrounded his wives Messalina and Agrippina, he was the best emperor since Augustus, and his actions strengthened the image of the Emperor. He restored public finances, instituted major infrastructure improvements (new harbour at Ostia, new aqueducts, drainage projects), and brought Britannia into the Empire. If anything, it was Claudius' reign that really solidified imperial rule through its competence.