As an experiment, try this bookmarklet, it will clear autocomplete and this dialog pops up (typical): 
javascript:(function%20(){var%20zCurrentElement=document.activeElement;var%20cfa,cea,cs,df,fe,i,j,sf,se;cfa=cea=cs=0;df=document.forms;for(i=0;i<df.length;i++){sf=df[i];fe=sf.elements;if(sf.onsubmit){sf.onsubmit='';cs++;}if(sf.attributes.autocomplete){sf.attributes.autocomplete.value='on';++cfa;}for(j=0;j<fe.length;j++){se=fe[j];if(se.attributes.autocomplete){se.attributes.autocomplete.value='on';cea++;}}}var%20zNode=document.createElement('div');zNode.setAttribute('id','idAPW_NotifWindow');zNode.innerHTML='<p>Removed:</p>'+'<ul>'+'<li>"autocomplete=off"%20from%20'+cfa+'%20form(s)<br>'+'%20and%20from%20'+cea+'%20form%20element(s).'+'<li>onsubmit%20from%20'+cs+'%20form(s).'+'</ul>'+'<p>After%20you%20type%20your%20password%20and%20submit%20the%20form,%20the%20browser%20will%20offer%20to%20remember%20your%20password.</p>'+'<style%20type="text/css">'+'#idAPW_NotifWindow'+'{'+'position:%20%20%20absolute;'+'visibility:%20visible;'+'margin:%205px;'+'padding:0em%202em%202em%202em;'+'max-width:%20%20400px;'+'background-color:%20%20%20orange;'+'border:%203px%20double;'+'font-size:%20%2014px;'+'text-align:%20left;'+'opacity:0.97;'+'z-index:1000;'+'cursor:%20pointer;'+'}'+''+'#idAPW_NotifWindow%20p,%20#idAPW_NotifWindow%20ul,%20#idAPW_NotifWindow%20li'+'{'+'margin:%200;'+'padding:%200;'+'line-height:130%;'+'}'+'#idAPW_NotifWindow%20p'+'{'+'padding:1em%200%200%200'+'}'+'#idAPW_NotifWindow%20ul'+'{'+'padding:0%200%200%202em;'+'}'+'#idAPW_NotifWindow%20li'+'{'+'margin:%200%200%200.5em%200;'+'}'+'</style>';zNode.style.top=window.scrollY+'px';zNode.style.left=window.scrollX+'px';document.body.appendChild(zNode);zNode.addEventListener("click",function(){var%20zNode=document.getElementById('idAPW_NotifWindow');if(zNode)zNode.style.visibility='hidden';},false);if(zCurrentElement){if(/input/i.test(zCurrentElement.tagName)){zCurrentElement.blur();zCurrentElement.focus();}}})();
If this works, then the GM script may be absent at the form level autocomplete="off" or there may be an onsubmit handler somewhere on the page.
If this does not work, this task may not be available in Chrome. (Note that a similar GM and bookmarklet work fine in Firefox. :))
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