There is nothing wrong with side contact sockets or they would have gone out of use years ago. They may be more delicate if used many times because of the risk of hooking the contact out of the plastic but they should still be usable many times. Bear in mind that side contact and turned pin sockets are only intended for occasional IC replacement or when a part may require upgrading or in some cases isn't available at the time of manufacture.
There is another type of socket, one intended foruse where the IC is expected to be removed and refitted many times, these are called ZIF sockets. ZIF stands for Zero Insertion Force, in other words there is no gripping or squeezing of the IC pins, in fact turning it upside down would result in the IC falling out. These sockets typically have fixed contacts on one side of the pin and a movable contact on it's opposite side, the movable contact is brought into position or released by moving a small lever. You find these in IC programmers and testers where ICs are frequently inserted and removed.
Brian.