Is there anywhere where the sea level has actually risen; as opposed to the land subsiding?
There is a path in England called the Broomway. You can look it up. Twice a day it is covered by a rising tide. It is still passable at low tide. It has been in use for 600 years.
In the Travels of Benjamin of Tudela, a medieval travel log from around the time of the crusades, he mentions that the ancient city of Sorrento was submerged when the sea rose (Pangloss English edition page 65), though the markets and towers could still be seen from the shore.
Ancient Caesaria, on the Mediterranean coast of Israel, was submerged in 1948.
In both cases people came later and rebuilt them above the tide line, and life went on.