I thing you are locking unique ID for each person.
Client code.
//When user connect to socket server to emit some info event like this
socket.emit('userInfo','clintUniqueID');//like mailid ID,username,anything but its unique
//When user open other tabs
socket.on('multipleTabs',function(data){
    //Your operation for client side    
     //example 
      alert('you are open multiple tabs');});
Server code:
var connection={}; //socket.io connection each user 
var usersList=[];//This list only contain unique ID for each connection
socket.on('userInfo',function(data){//emit by client (user)
 connection[socket.id]=socket; // just for connection
 var(var i=0;i<usersList.length;i++)
     {
           if(usersList[i]==data)//Here you store user unique ID like mailID,Username etc
             {
                  //user open multiple tabs  
                  //Any operation server site
                  //if you want to do any operation in  client site
                    socket.emit('multipleTabs','userAlreadyExit');
       }else
           {
                        if(i==usersList.length-1)
                           {
                               usersList.push(data);//store socket.id 
                                  }
                     }
 });
Now it will work check it