FRANCIE: Hey, no one is denying Gidget a chance to snag Moondoggie for the clambake, but the rest of us have things to accomplish.
A reference to the film Gidget, previously discussed. In the film, Moondoggie (played by James Darren) was Gidget’s love interest and eventual boyfriend. They didn’t really attend a clambake, but a luau. Presumably Francie thinks a clambake is the closest thing to a luau in New England.
The Annotated Gilmore Girls 