succeed to, inherit
纉 centers on the idea of continuing a line or legacy: succeeding to a position, inheriting a role, or carrying on a tradition.
纉 combines 糸 (thread) with 賛, which likely contributes the sound and the idea of continuation or succession, as threads link one generation to the next.
The left side 糸 suggests a thread, and the right side 賛 can be thought of as supporting or continuing. Picture a thread being passed from one person to the next, symbolizing inheritance and succession.
For サン, imagine a son inheriting the family business: son -> サン, and the thread of tradition continues.