I do it all the time ... only trouble is, my kids aren't old enough to remember most of the songs and Mrs P is ... of the wrong taste to know them. Someone on a book club forum asked me if i was somebody-or-other (I use a pseudonym there) and I replied "It ain't me babe, no, no, no" ... and got a frosty silence in return. (Might have been a warm silence, and my imagination turned the temp down.)

Yeah, alligator/crocodile was Jive talk; not thawe had it here in the UK, but it filtered down through films (and maybe "Life with the Lyons"). Not a song, but overheard at a beat party:
1st beatnik Like, make with the cake, Jake.
2nd beatnik Cake's all gone, John.
1st beatnik Crazy man! Gimme two slices!