You'll have to look up the verb "To Cleave" to get the full effect.
I got the “Leave It to Beaver” allusion.
I also pretty much got the “beaver” and “ the cleaver” drift
I was just a little confused as to whether Rush was referring to Jay Carney as “cleaver” and Claire Shipman as “beaver”, or whether Rush meant the references to the other way around.
This is, after all, the Obama Administration we are dealing with.