Or, if travelling off-peak with no luggage
Dublin City Centre - Dublin Airport - 25 minutes
Check in Dublin - 1 hour
Flight Dublin - Heathrow: 55 minutes
Heathrow collecting bags: Zero.
Heathrow to Heathrow Express: Another 15 minutes.
Heathrow Express to central London: 25 minutes.
That's under three hours, and those numbers aren't pie in the sky; I've done the lot.
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