I have tried with your code but not able to reproduce this issue.
Please try with the below code snippet.
ASPX
<telerik:RadListView ID="lvDSTableSelection" runat="server" AllowMultiItemSelection="true" EnableViewState="true">
<ItemTemplate>
<asp:LinkButton ID="LinkButton1" CssClass="selectedButtons" runat="server" CommandName="Select" CommandArgument='<%# Eval("ID") %>' Font-Underline="false" OnClick="lvDSTableSelection_SelectedIndexChanged">
<p ><%# Container.DataItem %></p>
</asp:LinkButton>
</ItemTemplate>
<SelectedItemTemplate>
<p><%# Container.DataItem %></p>
</SelectedItemTemplate>
</telerik:RadListView>
ASPX.CS
protected void lvDSTableSelection_SelectedIndexChanged(object sender, EventArgs e)
{
string str1 = (sender as LinkButton).CommandArgument;
}