documentclass{article}
usepackage{cleveref}
usepackage{enumitem}

crefname{prop}{property}{properties}
newlist{Prop}{enumerate}{1}
setlist[Prop]{label=arabic*., ref=arabic*}
crefname{Prop}{property}{properties}

begin{document}

    begin{enumerate}[ref=arabic*]
        item label[prop]{my:firstlabel}
        First property of the list

        item label[prop]{my:secondlabel}
        Second property of the list
    end{enumerate}

    We will discuss the implications of cref{my:firstlabel} and we will
    follow with cref{my:secondlabel}.bigskip

    begin{Prop}[start=3]
        item label[Prop]{My:firstlabel}
        First property of this list

        item label[Prop]{My:secondlabel}
        Second property of this list
    end{Prop}
    We will now discuss the implications of cref{My:firstlabel} and we will
    follow with cref{My:secondlabel}.

    end{document}