As an expansion to Mark's good answer: the increased tidal forces (which cause the stretching you want) aren't directly from increased gravity -- a planet in orbit is already in "freefall" and so doesn't directly feel this force. It's "weightless", the same way you would be in a freefalling elevator car.
Tidal forces are caused by the difference in gravity between the front and back of the planet. It is the planet's center of mass that is in orbit. Anything closer to the central mass than the center is slightly deeper in the gravitational well, and feels an additional tug toward the center. Anything on the far side of the planet (not facing the central mass) will be in a slightly weaker gravitational field, and will thus feel a slightly stronger centrifugal force (from the planet's orbital revolution) pushing away from the central mass. This difference of forces creates a stretching effect which, on Earth, causes the tides.
The strength of the stretching effect depends on how quickly the gravity drops off with distance. The closer you get to a central body, the more rapidly gravity's strength increases, so the strength of the tidal forces would increase. The stretching force would always be along an axis towards/away from the central body, so if that body was on the horizon, you'd have a horizontal stretching. As Mark suggests, I'd strongly recommend making the central body be a gas giant (and making the planet actually be its moon) so that you can get close enough to it to feel substantial forces without getting burned.
Such a planet would be "tidally locked" to the central gas giant, although in an eccentric ("oval-shaped") orbit, this would actually end up resulting in a wobbling motion (even the moon has a slight wobbling, called libration). This is because, although the rotational and orbital periods are identical, the orbital angular velocity will vary depending on distance, while the rotational rate will essentially be constant. The wikipedia article I linked to has a neat animation which shows this libration effect, and the moon's orbit is nearly circular. It would be more pronounced for a more eccentric orbit. From your planet's perspective, this would cause probably the large central body to appear to trace a sort of figure-8 pattern in the sky over the course of the orbital period (which would be essentially a month-long day if you're orbiting a gas giant).
As a side note: You wouldn't have to have an eccentric orbit for this stretching effect to exist. You could just orbit close to the central body in a nearly-circular orbit, and you'd feel the effect year round. In an eccentric orbit, though, you'd only feel the strongest effects for a fraction of the year.
But you have another problem (as Neil Slater points out in a comment). The strong tidal stretching forces, coupled with the libration from the eccentric orbit, is going to cause a lot of bending and flexing in the planet itself, which will cause a lot of friction and heat, a hot molten mantle, and a cracked crust. This will almost certainly lead to lots of volcanoes and earthquakes (and in fact, is exactly the reason why Jupiter's moon Io is covered in over 400 active volcanoes).