Cinque Terre Squeeze in

I’m planning a 9 day trip to Italy May 10-May 18th flying into and out of Rome. Was going to do the usual Rome-Florence-Venice. May 10-13 Rome, 13-15 Florence, 15-17 Venice, 17-18 Rome. Would love to visit Cinque Terre as well but don’t know if the trip will feel too rushed to add that in? Anyone that’s been to Cinque Terre is it worth it and would I have enough time?