.. Something oily

You will get some oil, eventually. Does The Establishment ( Talk to Bartholomew about the business card to unlock The Establishment. ) say anything to you?

And you have entered The Establishment.

Did you become a member, so that you can enter the private spa?

Then Celestine gave you a welcome gift bag, didn't he? Open the bag by using it in the inventory and you will find a body oil.

That is your something oily. Put it into the hideous mug.