The crux of the question is how to build an effect that would allow you to target a point, be it with an arrow head, claw, magnetic tip, magical leash, or otherwise, and subsequently use that point as a fulcrum regarding angular movement with respect to it, moving the point and its attached structure angularly with respect to yourself, or otherwise moving yourself directly towards the point or moving the point and its structure directly toward yourself. This would be my understanding of a grapple-like extension, with which you can swing things around you or pull to move yourself or the target as fits the scenario.
The Crime Fighter archetype has a Grapple Gun which is nothing more than the Movement 1 (Swinging) effect. Perhaps it can be explained why I'm wrong, but this seems so bizarre to me. There's no indication within that as to how long the grapple gun could reach, which to me seems like a key factor. It could theoretically be across the world, if you have a high enough movement speed. While a descriptor could surely be made to make that make sense somehow, it might seem more reasonable to have a shorter reach but a stronger pull, to then sling you moreso than actively be swinging. I suppose it could be left as a complication, but it just seems far too open to interpretation given how pivotal length is regarding a rotating object.
My best attempts thus far have been utilizing an Elongation effect, Limited to the Grapple device/power, and linking it to movement: swinging. That then defines the length from which you can grapple things. If you then want to grapple quickly, you can have Speed ranks limited to grappling. Furthermore, moving a target with your grapple could potentially be easily handled with a Move Object, limited direction (tangentially to the user or directly toward or past them), and potentially make it instant if the target immediately escapes the grab of the move object effect at the end of your turn as opposed to remaining grabbed.
Perhaps I'm thinking too far into this, and the distance and such can be left up to descriptors and complications. I tend to be more specific and technical in my games, so this may be a fault of me rather than the system. Even so, I'm curious as to any insight regarding building/handling an effect like a Grapple Gun. Thank you!