A touch screen display may include gate line driver circuitry coupled to a display pixel array. The display may be provided with intra-frame pausing (IFP) capabilities, where touch or other operations may be performed during one or more intra-frame blanking intervals. In one suitable arrangement, a gate driver circuit may include multiple gate line driver segments each of which is activated by a separate gate start pulse. Each gate start pulse may only be released at the end of an IFP interval. In another suitable arrangement, dummy gate driver units may be interposed among active gate driver units. Gate output signals may propagate through the dummy gate driver units during the IFP internal. In another suitable arrangement, each active gate driver unit may be provided with a buffer portion that protects at least some transistor in the gate driver unit from undesired stress.