Guitar Central

I milked it for awhile because it paid a premium, but I finally completed it because I just don't use 1-hour tasks that often. Now I'm kind of sorry I did that.

And semi-spoiler alert: The remaining tasks in that quest do not pay premium, so there's not much point in prolonging it after that part.

And if you're asking if that task goes away once Homer completes his part in it, the answer is yes. I think it's a permanent task only for Otto.