Depends on the weight of the instructor. If you get some slip of a girl you could still use a C 152.
BUT and this is a message for everyone starting out to learn to fly, just be wary of the dirty little secret of flight training. Flight school C 152's are frequently flown at weights above their legal maximum with every one turning a blind eye.
If you do decide on a C 152, which is a fine training aircraft and cheaper than a PA28, I would insist that on your first lesson you ask the instructor to show you how to calculate the takeoff weight for your flight. If the number is bigger than 1670 pounds, the maximum certified takeoff weight for this airplane, the plane is not legal or safe to fly.
If as is quite likely to happen, your instructor tells you "not to worry about it" than it is time to find another school.