We said it in London in the late 40s. It was supposed to be lucky if it was the FIRST thing you said on the 1st. But I could never remember when I woke.
At school there was also 'pinch and a punch, first day of the month -no returns'. If you didn't say no returns they could give you a 'pinch and a kick for being so quick'. You had to say it before mid-day.