"Fair use" doctrine is complicated. Here's the relevant section from the U. S. Copyright Office memo:
Fair usage allows for “quotation of excerpts in a review or criticism for purposes of illustration or comment; quotation of short passages in a scholarly or technical work, for illustration or clarification of the author’s observations; use in a parody of some of the content of the work parodied; summary of an address or article, with brief quotations, in a news report; reproduction by a library of a portion of a work to replace part of a damaged copy; reproduction by a teacher or student of a small part of a work to illustrate a lesson; reproduction of a work in legislative or judicial proceedings or reports; incidental and fortuitous reproduction, in a newsreel or broadcast, of a work located in the scene of an event being reported.” [my emphasis]
Rulings in the past tend to center on "insubstantial" usage that doesn't affect the marketability of the original work, in which the usage was considered "fair."
Your proposed usage is quite insubstantial, hence fair. The problem is whether it is also considered a "parody." I wouldn't know that unless I saw the context. From Dictionary.com: PARODY: a humorous or satirical imitation of a serious piece of literature or writing.
So, it likely is, i.e., I assume you have a character sing the line as a humorous imitation in a way that alters it's meaning in the context of YOUR script.
If that's the case, you shouldn't have a problem. If not, then I suppose you should be prepared for Tim Burton's lawyers to descend on your ass like locusts.
-Charles
