If I try to pass through flight connections at LHR T4 with one of those roll-on "airplane approved" travel suitcases with the wheels built in, does that go? I actually measured it and it is something approximating 56cm x 45cm x 25cm but maybe 1 cm over on one or two sides (or maybe not, I'm not great at that sort of thing...

). No liquids, natch. In the clear?
I plead ignorance because although I make the trip regularly, I never do it with this bag and my checkin time is horribly tight ex-AMS so checking bags is dodgy.
Thanks and appreciation to the more enlightened than I.