This Google Apps Script will automatically save Gmail attachments to Google Drive. It also has a premium version that supports nested Gmail labels, it can monitor multiple Gmail label and saves attachments in logical Google Drive folders.

function sendToGoogleDrive() {

  var sheet   = SpreadsheetApp.getActiveSheet();

  var gmailLabels  = sheet.getRange("D4:D4").getValue();
  var driveFolder  = sheet.getRange("D5:D5").getValue();
  var archiveLabel = sheet.getRange("D6:D6").getValue();

  var moveToLabel =  GmailApp.getUserLabelByName(archiveLabel);

  if ( ! moveToLabel ) {
    moveToLabel = GmailApp.createLabel(archiveLabel);
  }

  var filter = "has:attachment -label:" + archiveLabel + " label:" + gmailLabels;

  var threads = GmailApp.search(filter, 0, 5);

  var folder = DriveApp.getFoldersByName(driveFolder);

  if (folder.hasNext()) {
    folder = folder.next();
  } else {
    folder = DriveApp.createFolder(driveFolder);
  }

  for (var x=0; x function configure() {
  reset();
  ScriptApp.newTrigger("sendToGoogleDrive").timeBased().everyMinutes(5).create();
  Browser.msgBox("Initialized", "The program is now running.", Browser.Buttons.OK);
}

function onOpen() {
  var menu = [
    { name: "Step 1: Authorize",   functionName: "configure" },
    { name: "Step 2: Run Program", functionName: "configure" },
    { name: "Uninstall (Stop)",    functionName: "reset"     }
  ];
  SpreadsheetApp.getActiveSpreadsheet()
  .addMenu("Gmail Attachments", menu);
}

function reset() {

  var triggers = ScriptApp.getProjectTriggers();
  for (var i = 0; i < triggers.length; i++) {
    ScriptApp.deleteTrigger(triggers[i]);
  }

}