http://iscoresports.com/

I have run into several occasions when rain or other elements delay a game that has specific timelines to it (I.e. 2 hr drop dead, no new inning after..., etc.)

What I can't find is how to delay a game so the time does not continue. Am I missing something?

The next major update for iOS includes the ability to delay the game / pause the clock. Keep in mind that only the umpire can tell the official time for the game, and the timer in iScore is just for informational purposes, so you can exit and resume scoring at any time and the umpire should still be tracking the official time for a game.