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Worn chainrings do slip, for the same reason worn cassette sprockets do. If the gears are slipping under power with a new chain and cassette, most likely causes are poor gear adjustment (sometimes caused by worn out jockey wheels or bent gear hanger), dodgy freehub body/freewheel or worn out chainring. If the slippage only occurs in one of the chainrings, that suggests it's the chainring at fault.
Can't say we had any issues at all with the trains. I checked the cycling policy and, given that they don't have any tandem-specific conditions, assumed that they'd have to treat the tandem just like any other bike. Certainly that's the argument I had prepped for the train guard. We were travelling well outside peak time though.
@cruffiton Chainrings don't slip do they? Pretty sure it's the sprockets that are the problem, but I can't work out why. It's even more difficult to assess from the pilot's position about five feet away!