Party-leader's tattoo is flushed (4)
I believe the answer is:
pink
'is flushed' is the definition.
(thesaurus)
'party-leader's tattoo' is the wordplay.
'leader' indicates taking the first letters.
'tattoo' becomes 'ink' (ink can informally mean a tattoo).
The first letter of 'party' is 'p'.
'p'+'ink'='PINK'
(Other definitions for pink that I've seen before include "Colour it's healthy to be in" , "(Leftish) colour" , "Salmon-coloured" , "left of centre?" , "somewhat to the left?" .)