Meanings
Probably a reference to the passing of as many Sundays as there are days in a month, that is, between 28 and 31 weeks.[1]
How to pronounce "month of Sundays":
AU
A very long time; a period regarded as too long.
Example: "It seems like it’s been a month of Sundays since we saw him last."
Example Sentences
1
I haven't seen her in a month of Sundays.
2
I've been working on this project for a month of Sundays, and it's still not finished.
3
He's been studying for a month of Sundays to pass the exam.
4
She's been waiting for him at the restaurant for a month of Sundays.
5
I haven't played tennis in a month of Sundays.