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groat - old coin of very small value (4 old pence - less than 2p). 'Not a groat' = 'Nothing at all'.
'a bit of polish for the ego' - the ego is defined here: Id, ego, and super-ego - Wikipedia, the free encyclopedia ; it is, in very broad terms, the image we have of ourselves. If it is 'polished', we feel better about ourselves.
Not a groat! just a it of polish for the ego. 
Linear Mode
