Keep Looking = the job is considered both a Longshot and a Step Backwards. So your odds are slim, and even if you do get it, you'll take a big Loyalty hit.
Your odds of getting a Keep Looking job are the same as getting a Longshot job, ~<3-5% based on my experience and anecdotal reports from others.
(Yes, I have applied to a Keep Looking job and gotten it... my current Marquette job in Rupp is the only Longshot or KL I've ever gotten in about 30 tries lifetime).