One more thing. Add the resultset number (1,2,...) to each cfprocresult variable
<cfstoredproc procedure="pr_get_LoggedUser_Info" datasource="#Application.CDP_DSN#">
<cfprocparam type="In" cfsqltype="CF_SQL_INTEGER" value="#rsCF_Client_ID.CID#" null="No">
<cfprocresult name="rsCF_Client" resultset="1">
<cfprocresult name="rsCF_Client2" resultset="2">
</cfstoredproc>