I have a test case that requires typing in a partial value into an ajax based textfield and verifying the list has the expected content. If it does, select the content. An
Patrick's answer is definitely important, I also found that focus and mouseDown is needed in the last versions of Jquery UI.
I recorded a video of a test so that you can see it running in Sauce Labs:
https://saucelabs.com/jobs/ad8c561be39bb7a42c9bb3a063214c95