Outlook demands password ad nauseam

I have waited patiently through three Office updates to see if my problem was rectified.Over 18 months ago Outlook began to keep demanding my Google mail password up to ten times before Outlook settled down to work properly. Driving me demented it is. I rely more on Apple Mail now for my mail services, but I would prefer Microsoft Outlook for Mac 2011. Would it help if I uninstalled Office entirely and then reinstalled it?