Widely recognised, one business not quite nice! (6)
I believe the answer is:
iconic
'widely recognised' is the definition.
(I've seen this in another clue)
'one business not quite nice' is the wordplay.
'one' becomes 'i' (Roman numeral).
'business' becomes 'co' (short for company).
'not quite' means to remove the last letter.
'nice' with its final letter taken off is 'nic'.
'i'+'co'+'nic'='ICONIC'
(Other definitions for iconic that I've seen before include "highly symbolic" , "that's like an emoji?" , "Representatively symbolic" , "Symbolic, emblematic" , "conventional type" .)