Thanks to Dorrie's hint, I found it on a cached, now apparently defunct page through Google.
(email sent)

House Of Bamboo
(Earl Grant)

Number fifty-four, the house with a bamboo door
Bamboo roof and bamboo walls
They've even got a bamboo floor

You must get to know (ah!) soho Joe
He runs an espresso called the House of Bamboo

It's-a made of sticks, sticks and bricks
But you can get your kicks in the House of Bamboo
And it's got to swing it to the cha-cha
Dance the bolero in a sombrero
Shake a-like a snake!
You wanna drop in when the cats are hoppin'
Let your two feet move-a to the big beat
Pick yourself a kitten and listen to a platter that rocks
The jukebox
I'm-a tellin' you, when you're blue
Well, there's a lot to do in the House of Bamboo
Go, pretty boy, let's go, go!

In this casino you can drink cappuccino
Let your two feet move-a to the big beat
Pick yourself a kitten and listen to a platter that belts
I'm-a tellin' you, when you're blue
Well, there's a lot to do in the House of Bamboo

In the House of Bamboo