So far as I know, auto TGT limitation was only provided for on one large RR turbofan...the RB.211-22B.
Some operators disconnected the TGT channel from the fuel control amplifier, to prevent undue difficulty.
On takeoff, the fuel control amplifier would roll back thrust if temp limits were approached...sometimes thrust was rolled way back, and on a limiting runway, could catch crews by surprise.
However, if the alert F/E noticed this straight away, the Captain could quickly retard the affected throttle to 1.2 EPR, the F/E would unlatch the FCU to 'override', and thrust would then be re-applied.....weight and runway remaining, of course.
This takes good crew co-ordination to work effectively.