I can get pair of user_id - url
from url_like
table.
The only two columns are, as mentioned, user_id, url
Facebook doesn't offer time when use liked an URL. And I don't think they will be giving it in future. It comes under Facebook privacy policy.
You can trigger event when user liked url and insert time in your database by ajax. If user unlike and like it again then update same records. I have previously worked on subscribing like event by Javascript. SDK
You can find how to subscribe to an Like in the the documentation here:
FB.Event.subscribe('edge.create',
function(response) {
alert('You liked the URL: ' + response);
//Insert your user id with time when user liked by AJAX
}
);