noun
pushing back an opponent while locked in close quarters (sumo)
A sumo technique where wrestlers are chest-to-chest and one forces the other backward. Not used in general contexts.
横綱は寄りで相手を土俵の外へ押し出した。
The yokozuna pushed his opponent out of the ring with a yori.
suffix
tending toward; close to; -ish
Attaches to nouns or verb stems to indicate a tendency, inclination, or approximation. Often used in compounds like 甘えん坊寄り (leaning toward being spoiled) or 右寄り (right-leaning).
彼の意見はどちらかというと保守寄りだ。
His opinion leans somewhat toward the conservative side.
この色は青寄りの緑ですね。
This color is a bluish green, isn't it?
寄り is the noun/suffix form derived from the verb 寄る (to approach, to draw near). The suffix sense extends the idea of 'drawing near' to mean 'tending toward'.
Derived from the verb 寄る (よる, 'to approach, to draw near'). The sumo sense comes from the action of pushing while close to the opponent; the suffix sense extends the idea of 'drawing near' to mean 'tending toward' or 'close to'.