Lavasoft has recently updated it's home page, first time I visited took forever to open. Possibly that has something to do with it? I have noticed the updating at times recently to be a bit slower, but when it connects, it updates to 100% no problems. Could another program be blocking the update? Installed anything else recently? When the update ended prematurely did you get the standard "update failed" message? (Repeatedly)
I had this problem ages ago on the old computer, and found reinstalling worked OK,provided that after uninstalling it I deleted the lavasoft program files before reinstalling. You could try that.