If you thought CLINT EASTWOOD was prone to yelling at furniture before, wait until he hears THIS . . .

--64-year-old AEROSMITH singer STEVEN TYLER might be nailing Clint's 19-year-old daughter FRANCESCA.  And for those of you who didn't finish high school, that's a 45-YEAR AGE DIFFERENCE.

--The two of them showed up together at the Little Door restaurant in Los Angeles, and there are pictures to prove it.

--They were supposedly meeting JIM CARREY and RUSSELL SIMMONS there, but still, they were NOT interested in being photographed together.

--A source says that a "friend" of Francesca's asked the cameraman to delete the pictures.  He didn't.