A slight trace of refinement (5)

I believe the answer is:

taste

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This might be a double definition.

'a slight trace' is the first definition.
'taste' can be an answer for 'trace' (thesaurus). I'm not sure about the 'a slight' bit.

'refinement' is the second definition.
(I've seen this before)

'of' acts as a link.

Can you help me to learn more?

(Other definitions for taste that I've seen before include "Appreciation, discernment" , "Refinement or flavour" , "Test for flavour" , "The ability to discern good quality" , "Judgment" .)

I've seen this clue in The Irish Independent.

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