Left side 扌 is a hand reaching for something it doesn't have yet. That's the whole idea behind 找.
The left part is 扌, the squished form of 手 (hand). You already know it from 打 (to hit). The right part 戈 is an old spear shape, but here it's only a building block — no weapon story needed. 找 is a hand going after something that isn't in your grip yet, and that is still the everyday meaning today.