There are so many hidden bee references in this song that I don't know where to start. I think the best thing to do would be to go through the song, line by line.

I've never seen a diamond in the flesh

Most bees have never seen a diamond, since the two occupy different habitats.

I cut my teeth on wedding rings in the movies

Non-bee related line near the start, to throw us off the scent.

And I'm not proud of my address

Who would be proud of living in a hive? Like, just hanging from a tree or whatever. Rubbish accommodation.

In the torn up town, no postcode envy

A hive, with its hexagonal structure, could be interpreted as being "torn-up", and it certainly houses enough bees to be considered a sort of bee town. And there would be no postcode envy if all your homes were identical parts of the same superstructure.

But every song's like gold teeth

Honey is gold colored.

Grey Goose

Geese are the natural enemies of bees.

trippin' in the bathroom

If you were in the bathroom and encountered a bee, you may panic, and the ensuing chaos may cause you to trip.

Blood stains

If you were stung by a lot of bees in the same place, it could, conceivably, draw blood.

Ball gowns

Some balls are held outside, where bees can be found.

Trashin' the hotel room

You may trash your hotel room if there were a bee in it and you were trying to kill it.

We don't care, we're driving Cadillacs in our dreams

Bees are aspirational creatures.

But everybody's like Cristal

The color of Cristal is not wholly dissimilar to that of honey.

Maybach

May is the month in which people are most frequently stung by bees, and Bach's 9th Concerto is called The Flight of the Bees.

diamonds on your timepiece

One of the many things most bees will never own.

Jet planes

Jet planes can fly, as can bees.

Islands

Bees are found on some islands.

Tigers on a gold leash

Tigers are the natural enemies of bees.