I am looking for the title of a song I listened to in Montreal in the early 80's. 
the lyrics went something like. "don't touch me there. I told you
twice. I don't want to be your tumbeling dice." "and you know...you
know you are an alien...a refugee of space again."

Is this Rock, R&B or?

Slow or fast?

Male or female singer?

It was rock. Male singer.

not slow

The Rolling Stones have a song called "Tumbling Dice" on their "Exile
On Main Street" album from 1972. Lyrics are as follows:

Tumbling Dice (Jagger/Richards) 


People think I'm crazy, they're always tryin' to waste me
make me burn the candle right down,
but baby, baby, I don't need no jewels in my crown.
'Cause all you wimen is low down gamblers,
cheatin' like I don't know how,
but baby, baby, there's fever in the funk house now.
This low down bitchin' got my poor feet a itchin',
don't you know that duece's stay wild. 

Baby, I can't stay, you got to roll me
and call me the tumblin' dice. 

Always in a hurry, you never stop to worry,
don't you see the time flashin' by.
Honey, got no money,
I'm all sixes and sevens and nines.
Say now, baby, I'm a rank outsider,
you can be my partner in crime. 

But baby, I can't stay,
you got to roll me and call me the tumblin',
roll me and call me the tumblin' dice. 

Oh, my, my, my, I'm the lone crap shooter,
playin' the field ev'ry night. 

Baby, can't stay,
you got to roll me and call me the tumblin' ,
roll me and call me the tumblin' dice.
Got to roll me. Got to roll me. 


Could this be it?

~* Schylaar *~

Search terms in Google that I used: "lyrics tumbling touch" "tumbling
dice rolling stones"

No it is not. Put tumbling dice in any search engine and you get 10000
answers telling you that. I feel I am doomed to never hear this song
again.