Note that there's no sync with Internet Explorer itself, Chrync simply gives you data access to the essential parameters of Chrome on the desktop, from where you can load pages up as needed using the default Windows Phone web browser.
You don’t have to install any special Chrome add-in for it to work, and the only servers Chrync talks to are Google’s own servers, to authenticate and then to sync. Chrync talks to Google’s servers using the native Chrome sync protocol, exactly as Chrome itself does.
Although the author is charging a couple of pounds for it, there is an unlimited trial, so give it a go for as long as you want - there's no time-out. Chrync is available from the marketplace here.
Let the developer know what you think at this User Voice site. And here's a video introducing the tool: