Here are typical travel times I would allow from Canary Wharf:
LCY : 5 minutes (local roads)
STN : 1 hour 20 minutes (tube to Liverpool Street, then via Stansted Express [44 minutes])
LHR : 50 minutes (tube to Paddington, then via Heathrow Express [15 minutes])
LGW : 1 hour 15 mins (tube to Victoria, then via Gatwick Express [38 minutes])
LTN : 1 hour 05 mins (tube to Kings Cross/St Pancras, then via Midland Mainline [23 mins] or Thameslink [35 mins]).
Of course, if you take a cab to the Central London termini, then you can save even more time.
Be environmentally responsible: leave your limo at home & let the train take the strain...!!