How to debug slow display of a watcface?

I have a watchface that takes 2-3 seconds to appear when an AMOLED watch is waking up from AOD.  Also I have seen cases where when the watchface finally displays updates happen rapidly (faster than a 1/2 a second for a few times) as if the watch is catching up on missed events.  The problem doesn't happen in the simulator.

How can one debug these issues without an actual AMOLED watch?  

Are any other developers seeing this problem? I have seen reports from others on other watchfaces with the same or similar problem.