The last time I even saw a clock face with Roman numerals, it was when clearing the house of a person who had died.
The HHGTTG in the 1980s was sarcastic about digital watches being thought a pretty neat idea by humans, but they have definitely caught on. I have three clocks within view right now as I type this, one on an answer 'phone, and they are all digital readouts. None of them has an analogue option.
Fun fact: The pseudish BBC copyright declaration system did not begin until the middle 1970s. Before then, copyright years were in Indian numerals. In contrast to all of the earlier discussion on this page about the age and length of the Roman Empire, this particular practice post-dates the U.K.'s accession into the EEC and the U.K.'s conversion to decimal coinage.
Another fun fact: It isn't solely the BBC, in fairness. ITV companies did this back then, too. Granada's Crown Court has Roman numerals in the copyright year in its end credits, for just one example.
GRANADA
Colour Production
© Granada UK MCMLXXVIII