枚

Tree radical on the left fits the original meaning of 枚 - a small wooden stick or twig snapped off a tree (a measuring rod, a tally piece). The radical anchors the wooden-fragment image even though modern usage now counts coins, medals, missiles. Once a small-wooden-thing, now a small-precious-thing measure word.

Right is the rap-radical - a hand wielding a stick, the same 'do something to it' marker found in 改 to change, 教 to teach, 牧 to herd. Combined with wood, the literal image is striking a piece of wood: snapping a twig to use as a counter. From that act came the modern measure word - one tally for each small object.