Well known to have done wrong about central heating (5)
I believe the answer is:
noted
'well known' is the definition.
(I've seen this before)
'done wrong about central heating' is the wordplay.
'wrong' indicates anagramming the letters.
'about' means one lot of letters goes inside another.
'central' means to look at the middle letters.
The centre of 'heating' is 't'.
'done' is an anagram of 'noed'.
'noed' going around 't' is 'NOTED'.
'to have' is the link.
(Other definitions for noted that I've seen before include "written down" , "Famous, well-known - entered into little book" , "Distinguished" , "Scores like this" , "Observed - famous" .)