I've had this happen on several occasions with hot/high/heavy departures. Each time we've contacted engineering who downloaded the relevant data straight away by satellite link and advised on a course of action - for me it has always been "Continue and we will monitor".
I do not possess the technical knowledge to decide whether the engine has become unsafe to operate - I rely on qualified advisors for that. If, after t/o, it is running OK and the vital parameters are stable within the specified limits, then I don't have a problem, even if there has been an 'exceedence' of some kind. If the engine subsequently fails in flight, then I'll cope with that when it happens; so far so good...
