It sure does work:

from dataclasses import dataclass

@dataclass
class Test:
    _name: str="schbell"

    @property
    def name(self) -> str:
        return self._name

    @name.setter
    def name(self, v: str) -> None:
        self._name = v

t = Test()
print(t.name) # schbell
t.name = "flirp"
print(t.name) # flirp
print(t) # Test(_name='flirp')

In fact, why should it not? In the end, what you get is just a good old class, derived from type:

print(type(t)) # <class '__main__.Test'>
print(type(Test)) # <class 'type'>

Maybe that's why properties are nowhere mentioned specifically. However, the PEP-557's Abstract mentions the general usability of well-known Python class features:

Because Data Classes use normal class definition syntax, you are free to use inheritance, metaclasses, docstrings, user-defined methods, class factories, and other Python class features.