This rare kanji has no clear standalone meaning. Treat its meaning as uncertain.
橉 combines 木 (tree) with 粦, which likely contributes the sound. The exact historical development is uncertain.
The tree radical 木 suggests a connection to wood or a type of tree, but the overall meaning is unclear. Picture a rare, mysterious tree with no known name.
For リン, imagine a ring of trees: ring -> リン, and the tree radical 木 hints at the forest.
Prunus spinulosa (Japanese species of prunus)