A bit of tin blocking public entrance (4)

I believe the answer is:

cent

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'a bit' is the definition.
(thesaurus)

'tin blocking public entrance' is the wordplay.
'CENT' is hidden in amongst the letters.
But, I am not sure how this is indicated.

'of' is the link.

Can you help me to learn more?

(Other definitions for cent that I've seen before include "One hundredth of a euro" , "1/100 of various currencies" , "One 100th of a dollar" , "One-hundreth part of a currency" , "One-hundredth of the value of the basic unit" .)

I've seen this clue in The Guardian.

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