We consider the secure beamforming transmission over a quasi-static block fading channel from a multi-antenna transmitter to a desired single-antenna receiver, in the presence of a passive single-antenna eavesdropper. We focus on a practical scenario where the transmitter can only acquire the statistical channel knowledge of the eavesdropper and the partial channel knowledge of the legitimate receiver through a finite amount of signaling overhead. To keep control of the outage events caused by the limited channel knowledge, We firstly propose a strategy to determine the wiretap code parameters under the outage constraints, based on which we establish a necessary transmission condition to guarantee a positive secrecy rate. Aided by this transmission condition, we propose an on-off-based transmission scheme and characterize the secrecy throughput performance of the system. Our designed transmission scheme is beneficial for the deployment of physical layer security in practical frequency division duplex (FDD) systems with limited training and feedback.