Sugar Tits originated from sugar that is tied up in a nipple-shaped cloth for a child to suck. It’s no surprise a confectionary brand is named Sugar Tits.
As a nickname, Sugar Tits can denote “Sugar” + “Tits,” which would make it a sexual nickname.
Allie Novak, an inmate in Wentworth, the Netflix Tv Series, was nicknamed Sugar Tits; some call it the best prison nickname ever.