A bra cup shouldn't necessarily cover the whole breast, unless you're specifically wearing a full-coverage bra style. Other bra styles, like demi and perfect coverage, expose some breast tissue while still offering ample support.
However, the cup of the bra should never cut into your breast. If you're having spillage, that may indicate your bra cup is too small and you need to size up.
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CrossOver Bra
Honeylove's criss-cross mesh adds a signature touch, and a bonded underbust lifts without underwire. A wide wing with back-smoothing fabric eliminates back bulges. Adjustable straps and back let you modify your fit, and the straps can also be crisscrossed to stay hidden under racerback tank tops.
3D printed velvet adds support, and a bonded underbust lifts without underwire. Adjustable straps and back closure let you modify your fit. Straps can also be crisscrossed to stay hidden under racerback tank tops.