TigerCake is going to be some form of abstract styled first person shooter. May include some humor, so things aren't too serious.
The grapple beam can attach to stuff. If something touch the beam, it turns red and does damage. With some practice it'll be possible to slice up multiple enemies with one beam. When it does damage, it will use ammo, but regular grappling can be used as much as needed without any ammo.
The grapple doesn't have lots of automatic pull, so you can move around, and you can jump mid air. If there's some wall between you and the grapple end, the beam cuts off in 1 - 1.5 seconds. So there's some time for tricks, but not so much it's ridiculous.