If I'm standing near (but not directly on) the pointy part of the lemon shaped planet, do I feel like I'm standing on level ground, or am I on a slant?
Now I'm wondering if the planet is tidally locked, otherwise the forces on the extended and retracted bits of the lemon would shift widely as the planet rotates. Actually we could then model the extended bit as a giant tidal wave, er, tidal cloud. What a world.