In my three years at JFK this scenario was always one of my worries. 22L and 22R are quite close together. 22L is the relatively short landing runway and 22R is the longer take-off runway. It is necessary to cross 22R after landing to get to any ramp.
If an aircraft landing on 22L is told "Hold short 22R Change Point 9" and then takes some time to change frequency and who's native language is not native New York (never mind English), then it was always a little bit of a worry to me if I was departing from 22R.
I cannot tell you the number of times that I have set off down 22R and watched the traffic coming off 22L and thought to myself "I hope they do exactly what they have been told to do otherwise it could just get a trifle messy".