We address the problem of network booting: Distributed processes boot at unpredictable times and require to start some distributed algorithm; we consider clock synchronization algorithms in systems of n >= 3f+1 processes where at most f exhibit Byzantine behavior. Obviously, assumptions like ''there are always at most one third of the running processes Byzantine faulty'' do not hold during system start-up when processes boot one after the other. Another peculiarity of network booting is message loss, even if perfect communication is assumed: A message that is sent by a correct process could be lost because the receiver has not completed booting when the message arrives. Using a partially synchronous model where upper and lower bounds upon transmission and computation time exist but are unknown, we show that a suitable modification of Srikanth & Toueg's non-authenticated clock synchronization algorithm can handle network booting and guarantees bounded precision both during normal operation and start-up. Accuracy (in the sense of clocks being within a linear envelope of real-time) is only guaranteed, however, if sufficiently many correct processes are eventually up and running.