A few weeks ago LA announced the launch of a new Lima – London Heathrow service from 1 December 2023. The route will be operated five times weekly.
LA2488 LIM2055 – 1355+1LHR 789 3
LA2488 LIM2100 – 1400+1LHR 789 x346
LA2489 LHR2230 – 0635+1LIM 789 x57

It's an interesting addition and I suppose this means that LA has obtained a new, expensive slot at Heathrow. In December and January, the route will be flown with the B789 that is currently used for the LIM-MAD route, whereas the LIM-MAD flight (LA2484/2485) will then revert to B763 for two months, which will mean a longer flight time. From 1 February, LA2484/2485 is scheduled to be operated with B789 again - perhaps LA will acquire an additional Dreamliner by then or assign it from another route.

I hope the new route will be successful. A few years ago BA restared the LGW-LIM service, but after some time there was a frequency reduction and the flight never returned after covid. LA will fly to Heathrow, which is a substantially better airport for connections than Gatwick.