Naw. I mean, you could, but 2:10 really should be enough. Regarding the bags- LHR is probably not (at least historically) the best place for bags to make it from one plane to another, based on personal experience. That said, it's not really a function of time. If they're gonna screw it up, 2 or 4 hours won't make a difference. So, the bags are not the concern at all.

Even with 2:10 it is always possible to misconnect if sh*t happens, as it often does...but this should be quite comfortable.

Cheers.