Politician of considerable stature swallowing second dubious account (4,5)

I believe the answer is:
tall story
'account' is the definition.
(I have seen 'Incredible account' mean 'tall story' so perhaps 'account' could also mean 'tall story')
'politician of considerable stature swallowing second dubious' is the wordplay.
I cannot really see how this works, but
'politician' could be 'tory' (term for a Conservative Party politician) and 'tory' is found in the answer.
'second' could be 's' (common abbreviation) and 's' is present in the answer.
The remaining letters 'tall' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for tall story that I've seen before include "guff - with 24d" , "Lie" , "Fiction" , "suggesting Jack and the Beanstalk?" , "Exaggerated tale" .)
